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On a Reduction Formula for a Kind of Double q-Integrals [PDF]
Symmetry, 2016 Using the q-integral representation of Sears’ nonterminating extension of the q-Saalschütz summation, we derive a reduction formula for a kind of double q-integrals. This reduction formula is used to derive a curious double q-integral formula, and also allows us to prove a general q-beta integral formula including the Askey–Wilson integral formula as a
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Boundary Value Problems, 2018 In this paper, we study a sequential Caputo fractional q-integrodifference equation with fractional q-integral and Riemann–Liouville fractional q-derivative boundary value conditions.
Nichaphat Patanarapeelert +1 more
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Advances in Difference Equations, 2021 This paper deals with Al-Salam fractional q-integral operator and its application to certain q-analogues of Bessel functions and power series. Al-Salam fractional q-integral operator has been applied to various types of q-Bessel functions and some power ...
Shrideh Al-Omari +2 more
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q-Analogues and properties of the Laplace-type integral operator in the quantum calculus theory
Journal of Inequalities and Applications, 2020 In this paper, we discuss the q-Laplace-type integral operator on certain class of special functions. We propose q-analogues and obtain results involving polynomials of even orders and functions of q-trigonometric types.
Shrideh Khalaf Al-Omari
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Advances in Difference Equations, 2020 In the article, we introduce the generalized exponentially μ-preinvex function, derive a new q-integral identity for second order q-differentiable function, and establish several new q-trapezoidal type integral inequalities for the function whose ...
Muhammad Uzair Awan +5 more
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Some Opial-type integral inequalities via (p,q) $(p,q)$-calculus
Journal of Inequalities and Applications, 2019 In this paper, we introduce a new Opial-type inequality by using (p,q) $(p,q)$-calculus and establish some integral inequalities. We find a (p,q) $(p,q)$-generalization of a Steffensens-type integral inequality and some other inequalities.
Md. Nasiruzzaman +2 more
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Advances in Difference Equations, 2020 In this article, we investigate the so-called Inayat integral operator T p , q m , n $T_{p,q}^{m,n}$ , p , q , m , n ∈ Z $p,q,m,n\in \mathbb{Z}$ , 1 ≤ m ≤ q $1\leq m\leq q$ , 0 ≤ n ≤ p $0\leq n\leq p $ , on classes of generalized integrable functions. We
Shrideh Khalaf Al-Omari
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Some trapezoid and midpoint type inequalities via fractional ( p , q ) $(p,q)$ -calculus
Advances in Difference Equations, 2021 Fractional calculus is the field of mathematical analysis that investigates and applies integrals and derivatives of arbitrary order. Fractional q-calculus has been investigated and applied in a variety of research subjects including the fractional q ...
Pheak Neang +4 more
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Remarks on Q -integral complete multipartite graphs
Linear Algebra and its Applications, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pokorný, Milan +2 more
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New (p, q)-estimates for different types of integral inequalities via (α, m)-convex mappings
Open Mathematics, 2020 In the article, we present a new (p,q)(p,q)-integral identity for the first-order (p,q)(p,q)-differentiable functions and establish several new (p,q)(p,q)-quantum error estimations for various integral inequalities via (α,m)(\alpha ,m)-convexity. We also
Kalsoom Humaira +4 more
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