Results 1 to 10 of about 8,683 (257)

Midpoint-type integral inequalities for (s, m)-convex functions in the third sense involving Caputo fractional derivatives and Caputo–Fabrizio integrals

Applied Mathematics in Science and Engineering
In this study, midpoint-type integral inequalities for [Formula: see text]-convex function in the third sense, involving Caputo fractional derivatives and Caputo–Fabrizio integral operators, are demonstrated.
Khuram Ali Khan, Iqra Ikram, Ammara Nosheen, Ndolane Sene, Y. S. Hamed   +4 more
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Some New Tempered Fractional Pólya-Szegö and Chebyshev-Type Inequalities with Respect to Another Function

Journal of Mathematics, 2020
In this present article, we establish certain new Pólya–Szegö-type tempered fractional integral inequalities by considering the generalized tempered fractional integral concerning another function Ψ in the kernel. We then prove certain new Chebyshev-type
Gauhar Rahman, Kottakkaran Sooppy Nisar, Thabet Abdeljawad, Muhammad Samraiz   +3 more
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A new generalization of some quantum integral inequalities for quantum differentiable convex functions

Advances in Difference Equations, 2021
In this paper, we offer a new quantum integral identity, the result is then used to obtain some new estimates of Hermite–Hadamard inequalities for quantum integrals. The results presented in this paper are generalizations of the comparable results in the
Yi-Xia Li, Muhammad Aamir Ali, Hüseyin Budak, Mujahid Abbas, Yu-Ming Chu   +4 more
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Multiple Diamond-Alpha Integral in General Form and Their Properties, Applications

Mathematics, 2021
In this paper, we introduce the concept of n-dimensional Diamond-Alpha integral on time scales. In particular, it transforms into multiple Delta, Nabla and mixed integrals by taking different values of alpha.
Zhong-Xuan Mao, Ya-Ru Zhu, Jun-Ping Hou, Chun-Ping Ma, Shi-Pu Liu   +4 more
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Some Fractional Integral Inequalities Involving Mittag-Kernels

Journal of Mathematics, 2022
This paper aims to present fractional versions of Minkowski-type integral inequalities via integral operators involving Mittag-Leffler functions in their kernels. Inequalities for various kinds of well-known integral operators can be deduced by selecting
Xiujun Zhang, Ghulam Farid, Jiraporn Reunsumrit, Ayyaz Ahmad, Thanin Sitthiwirattham   +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, Ghulam Farid, Maja Andrić, Josip Pečarić, Yu-Ming Chu   +4 more
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Fractional Integral Inequalities of Gruss Type via Generalized Mittag-Leffler Function

International Journal of Analysis and Applications, 2019
We use generalized fractional integral operator containing the generalized Mittag-Leffler function to establish some new integral inequalities of Gr¨uss type. A cluster of fractional integral inequalities have been identified by setting particular values
G. Farid, A. U. Rehman, Vishnu Narayan Mishra, S. Mehmood   +3 more
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Wirtinger-Beesack integral inequalities

Electronic Journal of Differential Equations, 2005
A uniform method of obtaining various types of integral inequalities involving a function and its first or second derivative is extended to integral inequalities involving a function and its third ...
Gulomjon M. Muminov
doaj  

Weak Type Inequalities for Some Integral Operators on Generalized Nonhomogeneous Morrey Spaces

Journal of Function Spaces and Applications, 2013
We prove weak type inequalities for some integral operators, especially generalized fractional integral operators, on generalized Morrey spaces of nonhomogeneous type.
Hendra Gunawan, Denny Ivanal Hakim, Yoshihiro Sawano, Idha Sihwaningrum   +3 more
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On the weighted fractional Pólya–Szegö and Chebyshev-types integral inequalities concerning another function

Advances in Difference Equations, 2020
The primary objective of this present paper is to establish certain new weighted fractional Pólya–Szegö and Chebyshev type integral inequalities by employing the generalized weighted fractional integral involving another function Ψ in the kernel.
Kottakkaran Sooppy Nisar, Gauhar Rahman, Dumitru Baleanu, Muhammad Samraiz, Sajid Iqbal   +4 more
doaj   +1 more source