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E. R. LOVE TYPE LEFT FRACTIONAL INTEGRAL INEQUALITIES

open access: yesПроблемы 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

Hermite–Jensen–Mercer-Type Inequalities via Caputo–Fabrizio Fractional Integral for h-Convex Function

open access: yesFractal and Fractional, 2021
Integral inequalities involving many fractional integral operators are used to solve various fractional differential equations. In the present paper, we will generalize the Hermite–Jensen–Mercer-type inequalities for an h-convex function via a Caputo ...
Miguel Vivas-Cortez   +4 more
doaj   +1 more source

Some new integral inequalities of Wendorff type for discontinuous functions with integral jump conditions

open access: yesJournal of Inequalities and Applications, 2020
In this paper, we investigate some new integral inequalities of Wendorff type for discontinuous functions with two independent variables and integral jump conditions. These integral inequalities with discontinuities are of non-Lipschitz type.
Lihong Xing, Donghua Qiu, Zhaowen Zheng
doaj   +1 more source

Unified treatment of fractional integral inequalities via linear functionals [PDF]

open access: yes, 2016
In the paper we prove several inequalities involving two isotonic linear functionals. We consider inequalities for functions with variable bounds, for Lipschitz and H\" older type functions etc.
Bombardelli, Mea   +2 more
core   +2 more sources

An Integral Inequality [PDF]

open access: yesMathematical Inequalities & Applications, 2001
Let \((X,{\mathcal A},\mu)\) be a measure space, and let \(S:X\to {\mathcal A}\) be a function of type (C), i.e., \(S\) satisfies the following three conditions: C1) \(x\notin S(x)\) for every \(x\in X;\) C2) if \(y\in S(x),\) then \(S(y)\subset S(x);\) C3) \(\{ (x,y)\); \(y\in S(x)\} \) is \( \mu \times \mu \) measurable.
openaire   +2 more sources

Generalized proportional fractional integral functional bounds in Minkowski’s inequalities

open access: yesAdvances in Difference Equations, 2021
In this research paper, we improve some fractional integral inequalities of Minkowski-type. Precisely, we use a proportional fractional integral operator with respect to another strictly increasing continuous function ψ.
Tariq A. Aljaaidi   +4 more
doaj   +1 more source

The Grüss-Type and Some Other Related Inequalities via Fractional Integral with Respect to Multivariate Mittag-Leffler Function

open access: yesFractal and Fractional, 2022
In the recent era of research, the field of integral inequalities has earned more recognition due to its wide applications in diverse domains. The researchers have widely studied the integral inequalities by utilizing different approaches.
Yabin Shao   +5 more
doaj   +1 more source

Hypoelliptic functional inequalities [PDF]

open access: yes, 2018
In this paper we derive a variety of functional inequalities for general homogeneous invariant hypoelliptic differential operators on nilpotent Lie groups.
Ruzhansky, Michael   +1 more
core   +2 more sources

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

open access: yesFractal 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

Some Integral Inequalities [PDF]

open access: yesProceedings of the American Mathematical Society, 1962
1. The purpose of this paper is to present a general integral inequality concerning subadditive functions and to make applications of this inequality. The applications pertain to relations among integrals involving first and second differences of LP functions.
openaire   +2 more sources

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