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8 results on '"Muharrem, Tomar"'

1. Certain Hermite-Hadamard type inequalities via generalized k-fractional integrals

Author

Praveen Agarwal, Mohamed Jleli, and Muharrem Tomar

Subjects
Hermite-Hadamard inequality, generalized k-fractional integral, ( k , s ) $(k, s)$ -fractional integral, ( k , s ) $(k, s)$ -Riemann-Liouville fractional integral, Mathematics, QA1-939
Abstract

Abstract Some Hermite-Hadamard type inequalities for generalized k-fractional integrals (which are also named ( k , s ) $(k,s)$ -Riemann-Liouville fractional integrals) are obtained for a fractional integral, and an important identity is established. Also, by using the obtained identity, we get a Hermite-Hadamard type inequality.

Published
2017
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2. Certain inequalities associated with Hadamard k-fractional integral operators

Author

Muharrem Tomar, Shahid Mubeen, and Junesang Choi

Subjects
Mathematics, QA1-939
Abstract

Abstract We aim to present some new Pólya-Szegö type inequalities associated with Hadamard k-fractional integral operators, which are also used to derive some Chebyshev type integral inequalities. Further we apply some of the results presented here to a function which is bounded by the Heaviside functions.

Published
2016
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3. Hermite-Hadamard type inequalities for generalized convex functions on fractal sets style

Author

Muharrem Tomar, Praveen Agarwal, and Junesang Choi

Subjects
Fractal sets, Generalized convex functions, Generalized Hermite--Hadamard inequality, Generalized Holder inequality, Mathematics, QA1-939
Abstract

We aim to establish certain generalized Hermite-Hadamard's inequalities for generalized convex functions via local fractional integral. As special cases of some of the results presented here, certain interesting inequalities involving generalized arithmetic and logarithmic means are obtained.

Published
2018
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4. Certain Ostrowski type inequalities for generalized s-convex functions

Author

Bessem Samet, Praveen Agarwal, Muharrem Tomar, and Mohamed Jleli

Subjects
Pure mathematics, Algebra and Number Theory, Inequality, media_common.quotation_subject, 010102 general mathematics, Type (model theory), 01 natural sciences, 010305 fluids & plasmas, 0103 physical sciences, 0101 mathematics, Convex function, Analysis, Mathematics, media_common
Published
2017
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5. $${\varvec{(k,s)}}$$ ( k , s ) -Riemann–Liouville fractional integral inequalities for continuous random variables

Author

Selahattin Maden, Muharrem Tomar, and Erhan Set

Subjects
Pure mathematics, Inequality, General Mathematics, media_common.quotation_subject, 020206 networking & telecommunications, Field (mathematics), 0102 computer and information sciences, 02 engineering and technology, Variance (accounting), Riemann liouville, 01 natural sciences, Combinatorics, Probability theory, 010201 computation theory & mathematics, 0202 electrical engineering, electronic engineering, information engineering, Random variable, Mathematics, media_common
Abstract

In this paper, we introduce some new concepts to the field of probability theory: \(\left( k,s\right) \)-Riemann–Liouville fractional expectation and variance functions. Some generalized integral inequalities are established for \(\left( k,s\right) \)-Riemann–Liouville expectation and variance functions.

Published
2016
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6. Hermite-Hadamard Type Inequalities for s-Convex Stochastic Processes in the Second Sense

Author

Erhan Set, Muharrem Tomar, and Selahattin Maden

Subjects
Convex analysis, Combinatorics, Doubly stochastic matrix, Continuous-time stochastic process, Stochastic calculus, Applied mathematics, Discrete-time stochastic process, Stochastic optimization, Subderivative, Stochastic approximation, Mathematics
Abstract

In this study, s-convex stochastic processes in the second sense are presented and some well-known results concerning s-convex functions are extended to s-convex stochastic processes in the second sense. Also, we investigate relation between s-convex stochastic processes in the second sense and convex stochastic processes.

Published
2014
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7. Certain Hermite-Hadamard type inequalities via generalized

Author

Praveen, Agarwal, Mohamed, Jleli, and Muharrem, Tomar

Subjects
Hermite-Hadamard inequality, 26D15, Research, 26A51, generalized k-fractional integral, 26A33, \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$(k, s)$\end{document}(k,s)-Riemann-Liouville fractional integral, \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$(k, s)$\end{document}(k,s)-fractional integral
Abstract

Some Hermite-Hadamard type inequalities for generalized k-fractional integrals (which are also named \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$(k,s)$\end{document}(k,s)-Riemann-Liouville fractional integrals) are obtained for a fractional integral, and an important identity is established. Also, by using the obtained identity, we get a Hermite-Hadamard type inequality.

Published
2016

8. Some new integral inequalities for \(k\)-fractional integrals

Author

Jessada Tariboon, Sotiris K. Ntouyas, Muharrem Tomar, Jessada Tariboon, Sotiris K. Ntouyas, and Muharrem Tomar

Abstract

The aim of the present paper is to investigate some new integral inequalities for \(k\)-fractional integrals. Moreover, special cases of the integral inequalities in this paper have been obtained by Tariboon et.al. in [22].

Published
2016

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