Results 21 to 30 of about 89,971 (321)

Refinements of Ostrowski Type Integral Inequalities Involving Atangana-Baleanu Fractional Integral Operator

open access: yesSymmetry, 2021
In this article, first, we deduce an equality involving the Atangana–Baleanu (AB)-fractional integral operator. Next, employing this equality, we present some novel generalization of Ostrowski type inequality using the Hölder inequality, the power-mean ...
H. Ahmad   +5 more
semanticscholar   +1 more source

Integral inequalities via Raina’s fractional integrals operator with respect to a monotone function

open access: yesAdvances in Difference Equations, 2020
We establish certain new fractional integral inequalities involving the Raina function for monotonicity of functions that are used with some traditional and forthright inequalities.
Shu-Bo Chen   +5 more
doaj   +1 more source

New classes of unified fractional integral inequalities

open access: yesAIMS Mathematics, 2022
Many researchers in recent years have studied fractional integrals and derivatives. Some authors recently introduced generalized fractional integrals, the so-called unified fractional integrals.
Gauhar Rahman   +4 more
doaj   +1 more source

New Fractional Integral Inequalities for Convex Functions Pertaining to Caputo–Fabrizio Operator

open access: yesFractal and Fractional, 2022
In this article, a generalized midpoint-type Hermite–Hadamard inequality and Pachpatte-type inequality via a new fractional integral operator associated with the Caputo–Fabrizio derivative are presented.
S. Sahoo   +4 more
semanticscholar   +1 more source

Some Simpson’s Riemann–Liouville Fractional Integral Inequalities with Applications to Special Functions

open access: yesJournal of Function Spaces, 2022
Based on the Riemann–Liouville fractional integral, a new form of generalized Simpson-type inequalities in terms of the first derivative is discussed. Here, some more inequalities for convexity as well as concavity are established. We expect that present
Jamshed Nasir   +4 more
semanticscholar   +1 more source

Riemann–Liouville Fractional Integral Inequalities for Generalized Pre-Invex Functions of Interval-Valued Settings Based upon Pseudo Order Relation

open access: yesMathematics, 2022
The concepts of convex and non-convex functions play a key role in the study of optimization. So, with the help of these ideas, some inequalities can also be established. Moreover, the principles of convexity and symmetry are inextricably linked.
Muhammad Bilal Khan   +4 more
semanticscholar   +1 more source

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

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

Local Fractional Integral Hölder-Type Inequalities and Some Related Results

open access: yesFractal and Fractional, 2022
This paper is devoted to establishing some functional generalizations of Hölder and reverse Hölder’s inequalities with local fractional integral introduced by Yang.
Guangsheng Chen   +3 more
doaj   +1 more source

Some Novel Fractional Integral Inequalities over a New Class of Generalized Convex Function

open access: yesFractal and Fractional, 2022
The comprehension of inequalities in convexity is very important for fractional calculus and its effectiveness in many applied sciences. In this article, we handle a novel investigation that depends on the Hermite–Hadamard-type inequalities concerning a ...
S. Sahoo   +6 more
semanticscholar   +1 more source

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