Results 31 to 40 of about 1,333 (161)

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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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, Asha B. Nale, Satish K. Panchal, Christophe Chesneau, Amol D. Khandagale   +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, Aiman Mukheimer, Thabet Abdeljawad, Shahid Mubeen, Sabila Ali, Gauhar Rahman, Kottakkaran Sooppy Nisar   +6 more
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Certain generalized fractional integral inequalities

AIMS Mathematics, 2020
الهدف الرئيسي من هذه المقالة هو إنشاء بعض التفاوتات التكاملية الجزئية المعممة من خلال استخدام مشغل التكامل الجزئي ماريتشيف- سايغو- القاعدة (MSM). بعض الفئات الجديدة من المتباينات التكاملية الكسرية المعممة لفئة من n (n $ $\mathbb{N}$) الدوال الإيجابية المستمرة والمتناقصة على [a, b] باستخدام عامل التكامل الكسري MSM المشتق أيضًا.
Kottakkaran Sooppy Nisar, Gauhar Rahman, Aftab Khan, Asifa Tassaddiq, M. S. Abouzaid   +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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On Weighted Fractional Integral Inequalities

Journal of Functional Analysis, 2001
The author studies weighted positivity of a fractional power \((-\Delta)^\lambda\) of the Laplace operator, the weight function being the fundamental solution of this fractional power. Let \[ f(n,\lambda)=\psi\left(\frac{n}{2}\right)-\psi\left(\frac{n}{2}-\lambda\right)- \psi(\lambda) +\psi(1).
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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, Sarıkaya, Mehmet Zeki, Yıldırım, Hüseyin   +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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Some fractional proportional integral inequalities [PDF]

Journal of Inequalities and Applications, 2019
AbstractIn the last few years, various researchers studied the so-called conformable integrals and derivatives. Based on that notion some authors used modified conformable derivatives (proportional derivatives) to generate nonlocal fractional integrals and derivatives, called fractional proportional integrals and derivatives, which contain exponential ...
Gauhar Rahman, Thabet Abdeljawad, Aftab Khan, Kottakkaran Sooppy Nisar   +3 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
doaj   +1 more source