Results 31 to 40 of about 1,486 (259)
New Inequalities for Local Fractional Integrals
Iranian Journal of Science and Technology, Transactions A: Science, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Budak, Hüseyin +2 more
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Some Fractional Integral Inequalities for a Generalized Class of Nonconvex Functions
Journal of Mathematics, 2022 Fractional integral inequalities help to solve many difference equations. In this paper, we present some fractional integral inequalities for generalized harmonic nonconvex functions. Moreover, we also present applications of developed inequalities.
Yeliang Xiao +2 more
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The Fractional Integral Inequalities Involving Kober and Saigo–Maeda Operators
Communications in Advanced Mathematical Sciences, 2023 This work uses the Marichev-Saigo-Maeda (MSM) fractional integral operator to achieve certain special fractional integral inequalities for synchronous functions.
Deepak Kumar Jain +4 more
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On a Geometric Inequality Related to Fractional Integration [PDF]
Journal of Fourier Analysis and Applications, 2017 In this paper we consider a new kind of inequality related to fractional integration, motivated by Gressman's paper. Based on it we investigate its multilinear analogue inequalities. Combining with the Gressman's work on multilinear integral, we establish this new kind of geometric inequalities with bilinear form and multilinear form in more general ...
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On generalization conformable fractional integral inequalities
Filomat, 2018 The main issues addressed in this paper are making generalization of Gronwall, Volterra and Pachpatte type inequalities for conformable differential equations. By using the Katugampola definition for conformable calculus we found some upper and lower bound for integral inequalities.
Usta, Fuat, Sarıkaya, Mehmet Zeki
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Hermite-Hadamard-Fejér Inequalities for Preinvex Functions on Fractal Sets [PDF]
Sahand Communications in Mathematical Analysis, 2023 In this paper, for generalised preinvex functions, new estimates of the Fej\'{e}r-Hermite-Hadamard inequality on fractional sets $\mathbb{R}^{\rho }$ are given in this study.
Sikander Mehmood, Fiza Zafar
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Fractional Integrals and Generalized Olsen Inequalities
Kyungpook mathematical journal, 2009 Summary: Let \(T_\rho\) be the generalized fractional integral operator associated to a function \(\rho:(0,\infty)\to(0,\infty)\), as defined in [\textit{E. Nakai}, Taiwanese J. Math. 5, No.~3, 587--602 (2001; Zbl 0990.26007)]. For a function \(W\) on \(\mathbb R^n\), we be interested in the boundedness of the multiplication operator \(f\mapsto W\cdot ...
Hendra Gunawan, Eridani
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On Fractional Inequalities Using Generalized Proportional Hadamard Fractional Integral Operator
Axioms, 2022 The main objective of this paper is to use the generalized proportional Hadamard fractional integral operator to establish some new fractional integral inequalities for extended Chebyshev functionals.
Vaijanath L. Chinchane +4 more
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Refinements of some integral inequalities for unified integral operators
Journal of Inequalities and Applications, 2021 In this paper we are presenting the refinements of integral inequalities established for convex functions. Consequently, we get refinements of several fractional integral inequalities for different kinds of fractional integral operators.
Chahn Yong Jung +4 more
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Some New Harmonically Convex Function Type Generalized Fractional Integral Inequalities
Fractal and Fractional, 2021 In this article, we established a new version of generalized fractional Hadamard and Fejér–Hadamard type integral inequalities. A fractional integral operator (FIO) with a non-singular function (multi-index Bessel function) as its kernel and monotone ...
Rana Safdar Ali +6 more
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