Results 21 to 30 of about 234,622 (320)

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
doaj   +1 more source

Integral inequalities for some convex functions via generalized fractional integrals

Journal of Inequalities and Applications, 2018
In this paper, we obtain the Hermite–Hadamard type inequalities for s-convex functions and m-convex functions via a generalized fractional integral, known as Katugampola fractional integral, which is the generalization of Riemann–Liouville fractional ...
Naila Mehreen, Matloob Anwar
doaj   +1 more source

Certain New Chebyshev and Grüss-Type Inequalities for Unified Fractional Integral Operators via an Extended Generalized Mittag-Leffler Function

Fractal and Fractional, 2022
In this paper, by adopting the classical method of proofs, we establish certain new Chebyshev and Grüss-type inequalities for unified fractional integral operators via an extended generalized Mittag-Leffler function. The main results are more general and
Wengui Yang
doaj   +1 more source

Boundedness of fractional operators in weighted variable exponent spaces with non doubling measures [PDF]

, 2009
In the context of variable exponent Lebesgue spaces equipped with a lower Ahlfors measure we obtain weighted norm inequalities over bounded domains for the centered fractional maximal function and the fractional integral ...
Gorosito, Osvaldo, Pradolini, Gladis, Salinas, Oscar   +2 more
core   +3 more sources

Fractional Quantum Integral Inequalities [PDF]

Journal of Inequalities and Applications, 2011
Several authors have studied fractional integral inequalities and applications [\textit{S. L. Kalla} and \textit{A. Rao}, Matematiche 66, 59--66 (2011; Zbl 1222.26023); \textit{Z. Denton} and \textit{A. S. Vatsala}, Comput. Math. Appl. 59, No. 3, 1087--1094 (2010; Zbl 1189.26044); \textit{G. A. Anastassiou}, Comput. Math. Appl. 54, No.
Umut Mutlu Özkan, Hasan Öğünmez   +1 more
openaire   +2 more sources

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
doaj   +1 more source

Certain generalized fractional integral inequalities

AIMS Mathematics, 2020
The principal aim of this article is to establish certain generalized fractional integral inequalities by utilizing the Marichev-Saigo-Maeda (MSM) fractional integral operator.
Kottakkaran Sooppy Nisar, Gauhar Rahman, Aftab Khan, Asifa Tassaddiq, Moheb Saad Abouzaid   +4 more
doaj   +1 more source

A comprehensive review of Grüss-type fractional integral inequality

AIMS Mathematics
A survey of results on Grüss-type inequalities associated with a variety of fractional integral and differential operators is presented. The fractional differential operators includes, Riemann-Liouville fractional integral operators, Riemann-Liouville ...
Muhammad Tariq, Sotiris K. Ntouyas, Hijaz Ahmad , Asif Ali Shaikh, Bandar Almohsen , Evren Hincal   +5 more
doaj   +1 more source

Some New Generalizations for Exponentially s-Convex Functions and Inequalities via Fractional Operators

Fractal and Fractional, 2019
The main objective of this paper is to obtain the Hermite−Hadamard-type inequalities for exponentially s-convex functions via the Katugampola fractional integral.
Saima Rashid, Muhammad Aslam Noor, Khalida Inayat Noor, Ahmet Ocak Akdemir   +3 more
doaj   +1 more source

E. R. LOVE TYPE LEFT FRACTIONAL INTEGRAL INEQUALITIES

Проблемы анализа, 2020
Here first we derive a general reverse Minkowski integral inequality. Then motivated by the work of E. R. Love [4] on integral inequalities we produce general reverse and direct integral inequalities.
G. A. Anastassiou
doaj   +1 more source