Author: "Muharrem Tomar" / Topic: type (model theory) - Searchworks@Jio Institute Digital Library Search Results

Author: Praveen Agarwal, Muharrem Tomar, and Junesang Choi
Subjects: Pure mathematics, Hermite polynomials, Logarithm, General Mathematics, 010102 general mathematics, Type (model theory), 01 natural sciences, Style (sociolinguistics), 010101 applied mathematics, Hadamard transform, Fractal set, 0101 mathematics, Convex function, Mathematics
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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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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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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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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Author: Praveen Agarwal, Shilpi Jain, Gradimir V. Milovanović, and Muharrem Tomar
Subjects: Hölder's inequality, Pure mathematics, Inequality, media_common.quotation_subject, Type (model theory), Riemann liouville, Reverse holder inequality, media_common, Mathematics
Abstract: In this paper, we aim to present the improved version of the reverse Holder type inequalities by taking $(k,s)-$Riemann-Liouville fractional integrals. Furthermore, we also discuss some applications of Theorem 1 using some types of fractional integrals.
Published: 2017
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Author: Muharrem Tomar, Erhan Set, and Nazlı Uygun
Subjects: Discrete mathematics, Class (set theory), Pure mathematics, Hermite polynomials, Inequality, Hadamard transform, media_common.quotation_subject, Mathematics::Classical Analysis and ODEs, Type (model theory), Convex function, Convexity, media_common, Mathematics
Abstract: In this paper, we consider the class of generalized quasi-convex. Then using this convexity, we obtain some new generalized Hermite-Hadamard type integral inequalities for the generalized quasi-convex functions.
Published: 2016
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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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