Results 41 to 50 of about 1,408 (159)

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, Aiman Mukheimer, Thabet Abdeljawad, Shahid Mubeen, Sabila Ali, Gauhar Rahman, Kottakkaran Sooppy Nisar   +6 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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Certain new proportional and Hadamard proportional fractional integral inequalities

Journal of Inequalities and Applications, 2021
The main goal of this paper is estimating certain new fractional integral inequalities for the extended Chebyshev functional in the sense of synchronous functions by employing proportional fractional integral (PFI) and Hadamard proportional fractional ...
Gauhar Rahman, Kottakkaran Sooppy Nisar, Thabet Abdeljawad   +2 more
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New generalized fractional versions of Hadamard and Fejér inequalities for harmonically convex functions

Journal of Inequalities and Applications, 2020
The aim of this paper is to establish new generalized fractional versions of the Hadamard and the Fejér–Hadamard integral inequalities for harmonically convex functions.
Xiaoli Qiang, Ghulam Farid, Muhammad Yussouf, Khuram Ali Khan, Atiq Ur Rahman   +4 more
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Generalized Fractal Jensen–Mercer and Hermite–Mercer type inequalities via h-convex functions involving Mittag–Leffler kernel

Alexandria Engineering Journal, 2022
In this paper, we present generalized Jensen-Mercer inequality for a generalized h-convex function on fractal sets. We proved Hermite-Hadamard-Mercer local fractional integral inequalities via integral operators pertaining Mittag-Leffler kernel. Also, we
Peng Xu, Saad Ihsan Butt, Saba Yousaf, Adnan Aslam, Tariq Javed Zia   +4 more
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Two weighted inequalities for B-fractional integrals [PDF]

Journal of Inequalities and Applications, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Eroglu, Ahmet, Hajibayov, Mubariz G., Serbetci, Ayhan   +2 more
openaire   +4 more sources

Fractional integral inequalities for different functions

, 2012
In this paper, we establish several inequalities for different convex mappings that are connected with the Riemann-Liouville fractional integrals. Our results have some relationships with certain integral inequalities in the literature.
Yildiz, Çetin, Özdemir, M. Emin, Önelan, Havva Kavurmacı   +2 more
openaire   +6 more sources

Some generalized Riemann-Liouville k-fractional integral inequalities

Journal of Inequalities and Applications, 2016
The focus of the present study is to prove some new Pólya-Szegö type integral inequalities involving the generalized Riemann-Liouville k-fractional integral operator.
Praveen Agarwal, Jessada Tariboon, Sotiris K Ntouyas   +2 more
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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
doaj   +1 more source

Generalized Fractional Integral Inequalities for MT-Non-Convex and pq-Convex Functions

Journal of Function Spaces, 2022
Fractional integral inequalities have a wide range of applications in pure and applied mathematics. In the present research, we establish generalized fractional integral inequalities for MT-non-convex functions and pq-convex functions.
Wei Wang, Absar Ul Haq, Muhammad Shoaib Saleem, Muhammad Sajid Zahoor   +3 more
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