Results 11 to 20 of about 2,570,036 (296)
q-Integral inequalities associated with some fractional q-integral operators [PDF]
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Agarwal, P +3 more
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Certain Inequalities Involving Generalized Erdélyi-Kober Fractional q-Integral Operators [PDF]
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
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The solution of certain triple q-integral equations in fractional q-calculus approach
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
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q-integral equations of fractional orders
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
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An invariant p-adic q-integral on Zp [PDF]
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
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Asymptotic behaviour at infinity of solutions of second kind integral equations on unbounded regions of Rn [PDF]
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
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
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Trapezoid and Midpoint Type Inequalities for Preinvex Functions via Quantum Calculus
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
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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
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