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i-manager's Journal on Mathematics (JMAT)

Current Issue Vol. 13 Issue 2

Mathematical Modeling of Higher Overtone Vibrational Frequencies in Dichlorine Monoxide
Some Types of Generalized Closed and Generalized Star Closed Sets in Topological Ordered Spaces
Optimizing Capsule Endoscopy Detection: A Deep Learning Approach with L-Softmax and Laplacian-SGD
Kernel Ideals in Semigroups
Modeling the Dynamics of Covid-19 with the Inclusion of Treatment, Vaccination and Natural Cure
Calculation of Combined Vibrational Frequencies in Cl₂O using Lie Algebraic Method

Most Cited

Volume 2 Issue 1 January - March 2013

Research Paper

Inextensible Flows of Curves According to Sabban Frame in pseudo-Galilean Space

Handan Öztekin* , Hülya Gün Bozok**

* Department of Mathematics, Firat University, Turkey.

** Department of Mathematics, Osmaniye Korkut Ata University, Turkey.

Öztekin, H., and Bozok, H.G. (2013). Inextensible Flows of Curves According to Sabban Frame in Pseudo-Galilean Space G13. i-manager’s Journal on Mathematics, 2(1), 1-12. https://doi.org/10.26634/jmat.2.1.2158

Abstract

In this paper we study inextensible flows of curves in pseudo-Galilean space. We give necessary and sufficient conditions for inextensible flows of curves with Sabban frame in pseudo-Galilean space.

References

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3 [3]. A. O. Ögrenmis, (2010). On curvatures of a frenet curve in the pseudo-Galilean space G³₁ , Inter. J. Phys. Sci. 5, 2363- 1 2365.

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[19]. M. Ergüt, E. Turhan, T. Körpinar, (2013). Characterization of inextensible flows of spacelike curves with Sabban frame in S²₁Bol. Soc. Paran. Mat. 31(2), 47-53.

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[25]. Z. M. Sipus, (2008). Ruled Weingarten surfaces in the Galilean space, Periodica Mathematica Hungarica, 56(2), 213- 225.

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Research Paper

A New Hilbert-Type Inequality In Whole Plane With The Homogeneous Kernel Of Degree 0

Xie Zitian* , Zheng Zeng**

* Department of Mathematics, Zhaoqing University, Zhaoqing & Shaoguan University, Shaoguan, Guangdong, China.

** Shaoguan University, Shaoguan, Guangdong, China.

Xie, Z., and Zeng, Z. (2013). A New Hilbert-Type Inequality In Whole Plane With The Homogeneous Kernel Of Degree 0. i-manager’s Journal on Mathematics, 2(1), 13-20. https://doi.org/10.26634/jmat.2.1.2159

Abstract

In this paper, by estimating the weight function, we give a new Hilbert-type inequality in whole plane with the homogeneous kernel of degree 0 . As its applications, we consider the equivalent and a particular result.

References

[1]. Hardy G. H., Littlewood J. E. and Polya G., (1952). Inequalities, Cambridge University Press, Cambridge.

[2]. Bicheng Yang, (2006). On the the norm of an intergal operator and applications, J. Math. Anal. Appl, 321,182-192.

[3]. Zitian Xie and Zheng Zeng, (2010). A Hilbert-type Integral Inequality with a Non-homogeneous Form and a best constant factor, Advances and applications in mathmatical sciences, 3,(1),61-71

[4]. Zitian Xie and Zeng Zheng, (2008). A Hilbert-type integral inequality whose kernel is a homogeneous form of degree -3,J.Math.Appl, (339):324-331.

[5]. Xie Zitian, Zeng Zheng, (2010). On generality of Hilbert's inequality with best constant factor, Natural Science Journal of Xiangtan University, 32(3),1-4

[6]. Bicheng Yang, (2008). A Hilbert-type with a mixed kemel and extensions, Journal of Sichuan Normal University(Natural Science), 31(3):281-284.

[7]. Zitian Xie, Zheng Zeng, (2010). The Hilbert-type integral inequality with the system kernel of degree homogeneous form, Kyungpook Mathematical Journal (50),297-306

[8]. Zheng Zeng and Zitian Xie, (2010). On a new Hilbert-type integral inequality with the the integral in whole plane,, Journal of Inequalities and Applications, Vol., Article ID 256796, 8 pages, 2010. doi:10.1155/2010/256796

[9]. Zitian Xie, Bicheng Yang, Zheng Zeng, (2010). A New Hilbert-type integral inequality with the homogeneous kernel of real number-degree, Journal of Jilin University (Science Edition), 48(6)941-945.

[10]. Zitian Xie and Benlu Fu, (2009). A new Hilbert-type integral inequality with the best constant factor, J.Wuhan Univ. (Nat.Sci.Ed), 55(6):637-640.

[11]. Dongmei Xin, (2009). On a Hilbert-type integral inequality, Kyungpook Mathe.J., (49):393-401.

[12]. Zitian Xie and Xingdong Liu, (2009). A new Hilbert-type integral inequality and its reverse, Journal of Henan University (Science Edition), 39(1),10-13.

[13]. Xie Zitian, (2011). A New Hilbert-type integral inequality with the homogeneous kernel of real number-degre, Journal of Jishou University(Natural Science Edition),32(4),26-30

[14]. Zheng Zeng and Zitian Xie, (2010). A new Hilbert-type integral inequality with a best constant factor, Journal of South China Normal University (Natural Science Edition) (3), 31-33

[15]. Bicheng Yang, (2006). On the norm of an integral operatorand applications, J. Math. Anal. Appl, 321: 182-192.

[16]. Xie Zitian, Zeng Zheng, (2012). A new half-discrete Hilbert-type inequality with the homogeneous kernel of degree, Journal of Jishou University(Natural Science Edition), 33 (2), 15-19.

[17]. Zitian Xie, Zheng Zeng, Qinghua Zhou, (2012). A new Hilbert-type integral inequality with the homogeneous kernel of real number-degree and its equivalent inequality forms, Journal of Jilin University (Science Edition), 50(4), 693-697.

[18]. Jichang Kang, (2004). Applied Inequalities, Shangdong Science and Technology press, Jinan, 6.

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Research Paper

Some Characterizations Of Nonnull Slant Helices In R15

Handan Öztekin* , Serpil Tatlipinar**

*-** Department of Mathematics, Firat University, Turkey.

Öztekin, H.B., and Tatlipinar, S. (2013). Some Characterizations Of Nonnull Slant Helices In R51. i-manager’s Journal on Mathematics, 2(1), 21-26. https://doi.org/10.26634/jmat.2.1.2160

Abstract

In this paper, necessary and sufficent conditions for nonnull slant helices in Lorentzian space are investigated. Making use of known properities of such curves, different characterizations are obtained as depend on curvatures of these helices in Lorentzian space R₁⁵ .

References

[1]. Ali, A. T. (2009). Inclined Curves in Euclidean 5-Space E5, Journal of Advanced Research in Pure Mathematics, Vol.1,Issue.1, pp.15-22 Online ISSN:1943-2380.

[2]. Altin, A. (2001). Harmonic Curvatures of Non null Curves and The Helix in Rnv, Hacettepe Bulletin of Natural Sciences and Engineering Series B, 30, 55-61.

[3]. Hacisalihoglu, H. H., (2000). Differential Geometry, Ankara University, Faculty of Science Press.

[4]. Izumiya, S. and Takeuchi, N., (2004). New Special Curves and Developable Surfaces, Turk J. Math. 28, 153-163.

[5]. Karadag, H. B. and Karadag, M., (2008). Null Generalized Slant Helices in Lorentzian Space, Differential Geometry-Dynamical Systems, Vol.10, pp.178-185.

[6]. Kula, L. and Yayli, Y., (2005). On Slant Helix and Its Spherical Indicatrix, Applied Mathematics and Computation 169, 600-607.doi:10.1016/j. amc.2004.09.078.

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Research Paper

Probabilistic Analysis of an Evaporator of a Desalination Plant with Inspection

Dr. Syed Mohammed Rizwan* , N. PADMAVATHI, G. Taneja*

- Department of Mathematics and Statistics, Caledonian College of Engineering, Sultanate of Oman.

Department of Mathematics, M D University, Rohtak, India.

Rizwan, S.M., Padmavathi, N., and Taneja, G. (2013). Probabilistic Analysis of an Evaporator of A Desalination Plant with Inspection. i-manager’s Journal on Mathematics, 2(1), 27-34. https://doi.org/10.26634/jmat.2.1.2161

Abstract

The paper presents a probabilistic analysis of an evaporator of a desalination plant. Multi stage flash desalination process is being used for water purification. The desalination plant operates round the clock and many evaporators are in operation for water production. Any major failure/annual maintenance brings the evaporator to a complete halt and stops the production from that evaporator. The evaporator fails due to any one of the six types of failure. An inspection is carried out to detect the type of failure. For the present analysis, seven years maintenance data of a desalination plant has been extracted from the operations and maintenance record of the plant in Oman. An extensive probabilistic analysis of the plant is carried out and the measures of evaporator effectiveness such as mean time to evaporator failure, availability, the expected number of major, minor repairs, replacements, services, and the overall profitability incurred to the evaporator are estimated numerically. The semi-Markov processes and regenerative point techniques are used in the analysis.

References

[1]. Attahiru Sule, W. L. Alfa and Y. Q. Zhao. (1998). Stochastic analysis of a repairable system with three units and repair facilities. Microelectron Reliab, 38(4), 585–595.

[2]. Bhupender Parashar and Gulshan Taneja. (2007). Reliability and profit evaluation of a PLC hot standby system based on a master-slave concept and two types of repair facilities. IEEE Transactions on reliability, 56(3), 534-539.

[3]. G Taneja, D. V. Singh and Amit Minocha. (2007). Profit evaluation of a 2-out of-3 units system for an ash handling plant wherein situation of system failure did not arise, Journal of information and optimization sciences, 28(2), 195 -204.

[4]. S. M. Rizwan, V. Khurana, and G. Taneja. (2010). Reliability Analysis of a hot standby industrial system, International Journal of modeling and Simulation, 30(3), 315-322.

[5]. S. B. Munoli and M. D. Suranagi. (2010). Reliability Prediction in Fatal and Non-Fatal Shock Model, Aryabhatta J. of Mathematics & Informatics, 2(2), 255-260.

[6]. S. M. Rizwan, N. Padmavathi, G. Taneja, A. G. Mathew and Ali Mohammed Al-Balushi. (2010). Probabilistic analysis of a desalination unit with nine failure categories. Proceedings of World Congress on Engineering 2010, IAENG International Conference of Applied Mathematics (1877-1880). Imperial College London, UK.

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Research Paper

On A New Sequence Space Related To Lp

Cigdem A. BEKTAS* , Suzan ZEREN**

*-** Department of Mathematics, Firat University, Turkey.

Bektas, C.A., and Zeren, S. (2013). On A New Sequence Space Related To lp. i-manager’s Journal on Mathematics, 2(1), 35-42. https://doi.org/10.26634/jmat.2.1.2162

Abstract

In this study, we define the new sequence spacel_p^λ (u), whereλ=(λ_k )_(k=0)^∞ is a strictly increasing sequence of positive reals tending to∞,u=(u_n ) is a sequence of positive real numbers andl_p^λ (u)

References

[1]. Altay, B., & Basar, F. (2003). On the space of sequences of p- bounded variation and related matrix mappings. Ukrainian Math. J., 55(1), 136-147.

[2]. Altay, B.,& Basar, F. (2005). Some Euler sequence spaces of non- absolute type. Ukrainian Math. J., 57(1), 1-17.

[3]. Altay, B., Basar, F., & Mursaleen, M. (2006). On the Euler sequence spaces which include the spaces l and l I. Inform. Sci,176(10), 1450-1462.

[4]. Aydin, C., & Basar, F. (2004). On the new sequence spaces which include the spaces c and c. Hokkaido Math. J., 33(2), 0 383-398.

[5]. Aydin, C., & Basar, F. (2004). Some new difference sequence spaces. Appl. Math. Comput., 157(3), 677-693.

[6]. Aydin, C., & Basar, F. (2004). Some new paranormed sequence spaces. Inform. Sci.,160(1-4), 27-40.

[7]. Aydin, C., & Basar, F. (2005). Some new sequence spaces which include the spaces l and l . Demonstratio Math., 38(3), 641-656.

[8]. Basarir, M. (1995). On some new sequence spaces and related matrix transformations. Indian J. Pure Appl. Math., 26(10), 1003-1010.

[9]. Choudhary, B.,& Nanda, S. (1989). Functional Analysis with Applications. John Wiley & Sons Inc., New Delhi.

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i-manager's Journal on Mathematics (JMAT)

Current Issue Vol. 13 Issue 2

Most Read

Most Cited

Volume 2 Issue 1 January - March 2013

Inextensible Flows of Curves According to Sabban Frame in pseudo-Galilean Space

Handan Öztekin* , Hülya Gün Bozok**

* Department of Mathematics, Firat University, Turkey. ** Department of Mathematics, Osmaniye Korkut Ata University, Turkey.

Öztekin, H., and Bozok, H.G. (2013). Inextensible Flows of Curves According to Sabban Frame in Pseudo-Galilean Space G13. i-manager’s Journal on Mathematics, 2(1), 1-12. https://doi.org/10.26634/jmat.2.1.2158

Abstract

References

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A New Hilbert-Type Inequality In Whole Plane With The Homogeneous Kernel Of Degree 0

Xie Zitian* , Zheng Zeng**

* Department of Mathematics, Zhaoqing University, Zhaoqing & Shaoguan University, Shaoguan, Guangdong, China. ** Shaoguan University, Shaoguan, Guangdong, China.

Xie, Z., and Zeng, Z. (2013). A New Hilbert-Type Inequality In Whole Plane With The Homogeneous Kernel Of Degree 0. i-manager’s Journal on Mathematics, 2(1), 13-20. https://doi.org/10.26634/jmat.2.1.2159

Abstract

References

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Some Characterizations Of Nonnull Slant Helices In R15

Handan Öztekin* , Serpil Tatlipinar**

*-** Department of Mathematics, Firat University, Turkey.

Öztekin, H.B., and Tatlipinar, S. (2013). Some Characterizations Of Nonnull Slant Helices In R51. i-manager’s Journal on Mathematics, 2(1), 21-26. https://doi.org/10.26634/jmat.2.1.2160

Abstract

References

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Probabilistic Analysis of an Evaporator of a Desalination Plant with Inspection

Dr. Syed Mohammed Rizwan* , N. PADMAVATHI**, G. Taneja***

*-** Department of Mathematics and Statistics, Caledonian College of Engineering, Sultanate of Oman. *** Department of Mathematics, M D University, Rohtak, India.

Rizwan, S.M., Padmavathi, N., and Taneja, G. (2013). Probabilistic Analysis of an Evaporator of A Desalination Plant with Inspection. i-manager’s Journal on Mathematics, 2(1), 27-34. https://doi.org/10.26634/jmat.2.1.2161

Abstract

References

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On A New Sequence Space Related To Lp

Cigdem A. BEKTAS* , Suzan ZEREN**

*-** Department of Mathematics, Firat University, Turkey.

Bektas, C.A., and Zeren, S. (2013). On A New Sequence Space Related To lp. i-manager’s Journal on Mathematics, 2(1), 35-42. https://doi.org/10.26634/jmat.2.1.2162

Abstract

References

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* Department of Mathematics, Firat University, Turkey.

** Department of Mathematics, Osmaniye Korkut Ata University, Turkey.

* Department of Mathematics, Zhaoqing University, Zhaoqing & Shaoguan University, Shaoguan, Guangdong, China.

** Shaoguan University, Shaoguan, Guangdong, China.

Dr. Syed Mohammed Rizwan* , N. PADMAVATHI, G. Taneja*

- Department of Mathematics and Statistics, Caledonian College of Engineering, Sultanate of Oman.

Department of Mathematics, M D University, Rohtak, India.