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Your search keyword '"Muharrem, Tomar"' showing total 4 results
Start Over Author "Muharrem, Tomar" Topic applied mathematics
4 results on '"Muharrem, Tomar"'

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

Author

Praveen Agarwal, Mohamed Jleli, and Muharrem Tomar

Subjects
Pure mathematics, Hermite polynomials, Applied Mathematics, lcsh:Mathematics, 010102 general mathematics, Mathematical analysis, Mathematics::Classical Analysis and ODEs, Type inequality, Type (model theory), lcsh:QA1-939, 01 natural sciences, Volume integral, Fractional calculus, 010101 applied mathematics, Identity (mathematics), Hermite-Hadamard inequality, ( k , s ) $(k, s)$ -Riemann-Liouville fractional integral, Hadamard transform, Hermite–Hadamard inequality, ( k , s ) $(k, s)$ -fractional integral, Discrete Mathematics and Combinatorics, generalized k-fractional integral, 0101 mathematics, Analysis, Mathematics
Abstract

Some Hermite-Hadamard type inequalities for generalized k-fractional integrals (which are also named $(k,s)$ -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, Junesang Choi, and Shahid Mubeen

Subjects
Pure mathematics, Heaviside step function, Hadamard three-lines theorem, Applied Mathematics, lcsh:Mathematics, 010102 general mathematics, Function (mathematics), Type (model theory), lcsh:QA1-939, 01 natural sciences, Chebyshev filter, Fourier integral operator, 010101 applied mathematics, Algebra, symbols.namesake, Hadamard transform, Bounded function, symbols, Discrete Mathematics and Combinatorics, 0101 mathematics, Analysis, Mathematics
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 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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4. On generalized Gruss type inequalities for k-fractional integrals

Author

Mehmet Zeki Sarikaya, Erhan Set, and Muharrem Tomar

Subjects
Computational Mathematics, Pure mathematics, Applied Mathematics, Calculus, Integral inequalities, Type (model theory), Weighted Gruss inequality, k- Reimann-Liouville fractional integral, Mathematics
Abstract

SET, ERHAN/0000-0003-1364-5396 WOS: 000361771500005 The aim of the present paper is to investigate some new integral inequalities of Gruss type for k - Riemann-Liouville fractional integrals. From our results, new weighted or classical Griiss type inequalities have been established for some special cases. Moreover, special cases of the integral inequalities in this paper have been obtained by Dahmani and Tabharit, 2010 in [5]. (C) 2015 Elsevier Inc. All rights reserved.

Published
2015

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