Results 11 to 20 of about 2,570,036 (296)

q-Integral inequalities associated with some fractional q-integral operators [PDF]

open access: yesJournal of Inequalities and Applications, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Agarwal, P   +3 more
openaire   +5 more sources

Certain Inequalities Involving Generalized Erdélyi-Kober Fractional q-Integral Operators [PDF]

open access: yesThe Scientific World Journal, 2014
In recent years, a remarkably large number of inequalities involving the fractional q-integral operators have been investigated in the literature by many authors.
Praveen Agarwal   +3 more
doaj   +2 more sources

The solution of certain triple q-integral equations in fractional q-calculus approach

open access: yesArab Journal of Mathematical Sciences, 2019
In this paper, we consider a certain system of triple q-integral equations, where the kernel is the third Jackson q-Bessel functions. We give two solutions by using the fractional q-calculus approach. We study also the system with general kernel.
M.A. AL-Towailb
doaj   +2 more sources

q-integral equations of fractional orders

open access: yesElectronic Journal of Differential Equations, 2016
The aim of this paper is to study the existence of solutions for a class of q-integral equations of fractional orders. The techniques in this work are based on the measure of non-compactness argument and a generalized version of Darbo's theorem.
Mohamed Jleli   +2 more
doaj   +2 more sources

An invariant p-adic q-integral on Zp [PDF]

open access: yesApplied Mathematics Letters, 2008
AbstractIn this work, we study the p-adic q-integral on Zp and give the integral equations related to the p-adic q-integral. From these integral equations, we derive some interesting Witt’s formulae related to Bernoulli and Euler numbers.
Kim, Taekyun
openaire   +2 more sources

Asymptotic behaviour at infinity of solutions of second kind integral equations on unbounded regions of Rn [PDF]

open access: yes, 1994
We consider second kind integral equations of the form x(s) - (abbreviated x - K x = y ), in which Ω is some unbounded subset of Rn. Let Xp denote the weighted space of functions x continuous on Ω and satisfying x (s) = O(|s|-p ),s → ∞We show that if the
Peplow, AT, Chandler-Wilde, SN
core   +6 more sources

Generalized q-difference equation of the generalized q-operator rΦs(θ) and its application in q-integrals

open access: yesPartial Differential Equations in Applied Mathematics, 2023
In this paper, we employ the q-difference equation technique to generalize some well-known q-integrals such as the extension of Askey–Roy q-integral, Andrews–Askey q-integral, and Askey–Wilson q-integral.
Faiz A. Reshem, Husam L. Saad
doaj   +1 more source

Trapezoid and Midpoint Type Inequalities for Preinvex Functions via Quantum Calculus

open access: yesMathematics, 2021
In this article, we use quantum integrals to derive Hermite–Hadamard inequalities for preinvex functions and demonstrate their validity with mathematical examples.
Surang Sitho   +4 more
doaj   +1 more source

On the refinements of some important inequalities via ( p , q ) $(p,q)$ -calculus and their applications

open access: yesJournal of Inequalities and Applications, 2021
We establish some interesting refinements of the ( p , q ) $(p,q)$ -Hölder integral inequality and the ( p , q ) $(p,q)$ -power-mean integral inequality. As applications, we show that some existing ( p , q ) $(p,q)$ -integral inequalities can be improved
Bo Yu, Chun-Yan Luo, Ting-Song Du
doaj   +1 more source

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