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1. Some inequalities involving k-gamma and k-beta functions with applications - II.

Author

Rehman, Abdur and Mubeen, Shahid

Subjects
*GAMMA functions, *BETA functions, *MATHEMATICAL inequalities, *DISTRIBUTION (Probability theory), *CHEBYSHEV approximation, *MATHEMATICAL models, *NUMERICAL analysis
Abstract

In this paper, we present some inequalities involving k-gamma and k-beta functions via some classical inequalities, like Chebyshev's inequality for synchronous (asynchronous) mappings, Grüss', and Ostrowski's inequality. Also, we give applications of k-beta function in probability distributions. Most of the inequalities produced in this paper are the k-analogs of existing results. If k = 1,we have the classical one. [ABSTRACT FROM AUTHOR]

Published
2014
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2. Remarks on inequalities for the Casorati curvatures of slant submanifolds in quaternionic space forms.

Author

Pan Zhang and Liang Zhang

Subjects
*CURVATURE, *SUBMANIFOLDS, *MATHEMATICAL inequalities, *VECTOR spaces, *MATHEMATICAL optimization, *RIEMANNIAN manifolds, *NUMERICAL analysis, *MATHEMATICAL models
Abstract

In this paper, we obtain an inequality for the normalized Casorati curvature of slant submanifolds in quaternionic space forms by using T Oprea's optimization method. [ABSTRACT FROM AUTHOR]

Published
2014
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