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| Paper Type | : | Research Paper |
| Title | : | Dual Results of Opial's Inequality |
| Country | : | Nigeria |
| Authors | : | Y.O. Anthonio1, S.O. Salawu2 and S.O. Sogunro |
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: | 10.9790/5728-10270104  |
[2]. Calvert J.: Some generalization of Opial's Inequality, Pron. Amer. Math. Soc. 18(1967) 72-75
[3]. Maroni P.M,: Surl'ingelite d'Opial-Bessack, C.R Aca. Sci. Paris A264 (1967), 62-64.
[4]. C.O Fabulurin, A.G Adeagbo-Shelkh and Y.O Anthonio,: On an inequality relates to Opial, Octogon Mathematics Magazine,
18(2010), No 1, 32-41.
[5]. Obial Z.: Surune integalite. Ann. Polon. Math. 8(1960), 29-32.
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| Paper Type | : | Research Paper |
| Title | : | Generalised CR -submanifolds of an ( , ) -trans-Sasakian manifold with certain connection |
| Country | : | India |
| Authors | : | Mohd. Danish Siddiqi, Janardan P. Ojha, and Mobin Ahmad |
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: | 10.9790/5728-10270513 |
Abstract: In this paper, generalised CR -submanifolds of an ( , ) -trans-Sasakian manifolds with semi-symmetric non-moetric connection are studied. Moreover, integrability conditions of the distributions on generalised CR -submanifolds of an ( , ) -trans-Sasakian manifolds with semi-symmetric non-moetric connection and geometry of leaves with semi-symmetric non-metric connection have been discussed. 2000 Mathematical Subject Classification :53C21, 53C25, 53C05.
Keywords: Distributions, ( , ) -trans-Sasakian manifolds, Generalised CR submanifolds, Semi-symmetric non-metric connection.
[2]. Mihai, Geometry and Topology of Submanifolds, World Scientific, Vol. VIII, (1996), 265-268.
[3]. J. A. Oubina, New Class of almost contact metric structures, Publ. Math. Debrecen, 32(1985), 187-193.
[4]. M. H. Shahid, CR-Submanifolds of trans-Sasakian manifold, Indian J. Pure Appl. Math. 22(1991), 1007-1012.
[5]. M. H. Shahid, I. Mihai, Generic CR -Submanifolds of trans-Sasakian manifold, Publ. Math. Debrecen, 47(3), (1995),
209-218.Kumar, A, U. C. De, Generalised CR subamnifolds of a trans-Sasakian manifolds, Indian. J. Pure. Appl. Math. 32(4), 2001,
573-580.Bejancu, K. L. Duggal, Real Hypersurfaces on indefinite Kahler manifolds. itInt. Math. Math. Sci,16(3),(1993), 545-556.
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| Paper Type | : | Research Paper |
| Title | : | Construction of the Real Number System |
| Country | : | India |
| Authors | : | Reema Agarwal, Mahesh Kumar |
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: | 10.9790/5728-10271417 |
Abstract: In this paper it will be shown that is the only complete Archimedean ordered field. The two approaches to completeness for Archimedean ordered field are given and then it is concluded that they are equivalent.
Keywords: Complete Archimedean ordered field, right end point, open lower segment.
[2] W. Rudin, Principle of Mathematical Induction
[3] Hewitt and Stromberg, Real and Abstract Analysis
[4] N.L. Carothers, Real Analysis
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| Paper Type | : | Research Paper |
| Title | : | A modified F-expansion method for solving nonlinear pseudoparabolic BBMB equations |
| Country | : | India |
| Authors | : | Priyanka M. Patel, Vikas H. Pradhan |
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: | 10.9790/5728-10271825 |
Abstract: In this paper, the modified F-expansion method with the aid of symbolic computational system Mathematica is implemented to obtain many exact travelling wave solutions for a special form of generalized nonlinear pseudo-parabolic Benjamin-Bona-Mohany-Burgers (BBMB) equation. The obtained solutions are expressed by the hyperbolic functions and the trigonometric functions. This method presents a wider applicability for handling nonlinear pseudo-parabolic partial differential equations arising from the mathematical physics.
Keywords: generalized nonlinear pseudo-parabolic Benjamin-Bona-Mohany-Burgers equation, modified Fexpansion method, travelling wave solutions
mechanics, vol. 34, pp. 699-708, 1999
[2] D. D. Ganji, " The application of He's homotopy perturbation method to nonlinear equations arising in heat transfer ", Physics
letters A, vol. 355, pp. 337-341, 2006
[3] W. Malfliet, " The tanh method: a tool for solving certain classes of nonlinear evolution and wave equations", Journal of
computational and applied mathematics, vol. 164-165, pp. 529-541, 2004
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| Paper Type | : | Research Paper |
| Title | : | Analysis Of Chlorophyll "A" And "B" In Randomly Selected Varieties Of Sugarcane Leaves Using Multivariate Analysis Of Variance. |
| Country | : | Nigeria |
| Authors | : | Abubakar Usman |
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: | 10.9790/5728-10272632 |
Abstract:Multivariate data needed to make rigorous probability statements about the effect of factors and their interaction in experiments. Multivariate statistical methods provide a useful test for analysis of rigorous data sets, because many variables integrated in one analysis. Chlorophyll "a" and "b" are indeed essential for the growth and development of sugarcane stalk. This paper presents multivariate analysis of variance of the chlorophyll content of the randomly selected varieties of sugarcane leaves. The data set obtained from a study conducted at National Cereal Research Institute (NCRI,) Badeggi in Niger State, Nigeria. The results show that there are statistical significant differences in both the seasons and the varieties of the sugarcane leaves in the chlorophyll contents.
Keywords: Chlorophyll, Porphyry ring, Manova, Seasons, Biological, treatments and Pigment.
[2]. Hand, D. J and Taylor, O.C. (1987): Multivariate Analysis of variance and Repeated Measures: A Practical Approach for Behavioral Scientist Chapman and Hall, London New York
[3]. Manly, B. F.J (2005), Multivariate Statistical Methods: Aprimer 3rd. Chapman & Hall/CRC Laramie, Wyoming, USA PP 35-73
[4]. Michael J. Kalsher (2010) Multivariate Analysis of Variance: Advance Experimental Methods and Statistics: Rensselaer
[5]. Richard, F.H & Michael V. E (1988) Multivariate Analysis of Variance Journal of Counseling Psychology Vol. 34; No 4, 404-413
[6]. Timm,
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| Paper Type | : | Research Paper |
| Title | : | The Implementation of Vedic Mathematics to Algebra and Geometry |
| Country | : | India |
| Authors | : | M. N. Dhanave. M. A. Kangale |
|
: | 10.9790/5728-10273336 |
Abstract: Vedic mathematics is the name given to the ancient Indian system of mathematics that was rediscovered in early twentieth century. Vedic mathematics is mainly based on sixteen principles or word-formulae which are termed as sutras. We discuss possible application of Vedic mathematics to branches of mathematics i.e. algebra and geometry. In this paper, after a gentle introduction of these sutras, it is applied to algebra and geometry problems. Vedic maths appears, at first, to have magical quality. When methods are understood, particularly in relation to one another, then it is unified mathematics.
[2]. http://www.mlbd.com.
[3]. Jagadguru Swami Sri Bharati Krisna Tirthaji Maharaja,
[4]. Vedic Mathematics: Sixteen Simple Mathematical Formulae from the Veda. Delhi
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| Paper Type | : | Research Paper |
| Title | : | Characterization for New Classes of Analytic Functions Defined By Using Salagean Operator |
| Country | : | Nigeria |
| Authors | : | Oyekan Ezekiel Abiodun , Adelodun Olabode Paul. and Ajai, Philip Terwase |
|
: | 10.9790/5728-10273742 |
Abstract: In this paper, we study certain subclasses , , , , U A B m n and , , , *
, U A B m n of analytic
functions in the unit disk. The results presented include coefficient estimates and several subordination
properties for functions belonging to these subclasses. Our results extend some earlier works.
Keywords: subordinating factor sequence, univalent, convex, analytic, convolution (or Hadamard product)
[2]. S.S Miller and P.T Mocanu , Differential Subordinations: Theory and Applications, Series on Monographs and textbooks in pure and applied maths, No. 225 Marcel Dekker Inc., New York 2000.
[3]. S.H Li and H. Tang, Certain new Classes of Analytic functions defined by using
[4]. Salagean operator, Bull. Math. Anal. Appl., 2 (4), 2010, 62-75
[5]. S.S Eker and S. Owa, Certain classes of analytic functions involving Salagean operator, J Inequal. Pure & Appl Math. 10(1), 2009, 12-22
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| Paper Type | : | Research Paper |
| Title | : | On A Two Dimensional Finsler Space Whose Geodesics Are Semi- Elipses and Pair of Straight Lines |
| Country | : | India |
| Authors | : | P.K. Srivastava & V.N.Jha |
|
: | 10.9790/5728-10274351 |
Abstract: It is an interesting problem to find the fundamental function of a two dimensional Finsler space
whose geodesics constitute a given family of curves. M. Matsumoto [5],[6],[8]1) obtained the fundamental
function of a two dimensional Finsler space whose geodesics are special conic sections. The aim of the present
paper is to obtain the fundamental metric function of two dimensional Finsler space whose geodesics are semielipses
and pair of straight lines. We show that such space is locally Minkowskian.
[2]. W. Blaschke, Vorlesungen über Differentialgeometrie I (Dritte Auflage), Springer, 1930 (Chelsea 1967).
[3]. M. Matsumoto, Foundations of Finsler Geometry and Special Finsler Spaces, Kaiseisha Press, Saikawa, Otsu, Japan (1986).
[4]. M. Matsumoto, Projectively flat Finsler spaces of dimension two and an example of projective change, Proc. 5th Natl. Semin. Finsler and Lagrange spaces, Soc. Sti. Mat. Romania, Univ. Brasov, (1988), 233-239.
[5]. M. Matsumoto, The inverse problem of variation calculus in two-dimensional Finsler space, J. Math. Kyoto Univ., 29(1989), 489-496.
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| Paper Type | : | Research Paper |
| Title | : | Coupled Coincidence Fixed Point Theorems in S-Metric Spaces |
| Country | : | India |
| Authors | : | Hans Raj , Nawneet Hooda |
|
: | 10.9790/5728-10275964 |
Abstract: In this paper we prove some coupled fixed point theorems in S-metric spaces.
MSC: 47H10, 54H25
Keywords: Coupled coincidence point, coupled fixed pont, mixed g-monotone property, S-metric space
[2] S. Gahlers, 2-metrische Raume and ihre topologische structure, Math.Nachr, 26, 1963, 115-148.
[3] S. Gahlers, Zur geometric 2-metrische raume, Revue Roumaine Math. Pures Appl., 11, 1966, 665-667.
[4] Z. Mustafa and B. Sims, A new approach to generalized metric spaces, Journal of Nonlinear and Convex Analysis, 7 (2), 2006, 289-
297.
[5] S. Sedghi, N. Shobe and A. Aliouche, A generalization of fixed point theorems in S-metric spaces, Mat. Vesnik, 64 (3) (2012), 258-
266.
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| Paper Type | : | Research Paper |
| Title | : | Doubt fuzzy ideals of BF-algebra |
| Country | : | India |
| Authors | : | S. R. Barbhuiya , |
|
: | 10.9790/5728-10276570 |
Abstract: The aim of this paper is to introduce the notion of Doubt fuzzy ideals of BF -algebra and to
investigate some of their basic properties.
Keywords: BF -algebra, Subalgebra, Doubt fuzzy BF -Subalgebra, Doubt fuzzy ideals of BF -algebra
[2]. J.Neggers and H.S. Kim: on B-algebras, Math.Vensik,54(2002),21-29.
[3]. Andrzej Walendziak: On BF algebras, Math Slovaca,57((2007),No2),119-128.
[4]. A.Borumand Saeid and M.A Rezvani: on Fuzzy BF algebras International Mathematical Forum,4 ,No1 (2009),13-25.
[5]. A.Borumand Saeid : Some results in Doubt fuzzy BF- algebras Analele Universitatii Vest Timisoara seria Mathematica - Informatica,XLIX,(2011),125-134.
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| Paper Type | : | Research Paper |
| Title | : | Global Dynamics of an Epidemic Model with a Non-Monotonic Incidence Rate |
| Country | : | India |
| Authors | : | Seema Khekare , Sujatha Janardhan |
|
: | 10.9790/5728-10277177 |
Abstract: In this paper, we present an epidemiological model with a non-monotonic incidence rate, describing the effect of social phenomenon due to availability of medical infrastructure and awareness of some epidemics, when the number of infective becomes larger. We also analyze the dynamical behavior of the model and derive the stability conditions for the disease-free and the endemic equilibrium. We illustrate theoretical results by carrying numerical simulation.
Keywords: Non-monotonic incidence rate, stability conditions, disease-free equilibrium, endemic equilibrium.
721.
[2]. H. W. Hethcote, The mathematics of infectious diseases, SIAM review, 42, 2000, 599-653.
[3]. V. Capasso, G. Serio, A generalization of the Kermack-McKendrick deterministic epidemic model, Math. Biosci., 42, 1978, 43-61.
[4]. W. Wang, S. Ruan, Simulating the SARS outbreak in Beijing with limited data, J. Theoret. Biol., 227, 2004, 369-379.
[5]. W. M. Liu, S. A. Levin, Y. Iwasa, Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models, J.
Math. Biol., 23, 1986, 187-204.