Results 11 to 20 of about 5,587,423 (323)
Certain Inequalities Involving Generalized Erdélyi-Kober Fractional q-Integral Operators [PDF]
The 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 +5 more sources
The solution of certain triple q-integral equations in fractional q-calculus approach
Arab 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 +3 more sources
q-Integral inequalities associated with some fractional q-integral operators [PDF]
Journal of Inequalities and Applications, 2015 In recent years fractional q-integral inequalities have been investigated by many authors. Therefore, the fractional q-integral inequalities have become one of the most powerful and far-reaching tools for the development of many branches of pure and ...
Praveen Agarwal +3 more
semanticscholar +6 more sources
A fractional q-integral operator associated with a certain class of q-Bessel functions and q-generating series [PDF]
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
doaj +3 more sources
Some New Hermite-Hadamard and Related Inequalities for Convex Functions via (p,q)-Integral. [PDF]
Entropy (Basel), 2021 In this investigation, for convex functions, some new (p,q)–Hermite–Hadamard-type inequalities using the notions of (p,q)π2 derivative and (p,q)π2 integral are obtained.
Vivas-Cortez M +4 more
europepmc +2 more sources
Convexity of Certain q-Integral Operators of p-Valent Functions [PDF]
Abstract and Applied Analysis, 2014 By applying the concept (and theory) of fractional q-calculus, we first define and introduce two new q-integral operators for certain analytic functions defined in the unit disc 𝒰.
K. A. Selvakumaran +3 more
doaj +4 more sources
Some (p, q)-Integral Inequalities of Hermite–Hadamard Inequalities for (p, q)-Differentiable Convex Functions [PDF]
Mathematics, 2022 In this paper, we establish a new (p,q)b-integral identity involving the first-order (p,q)b-derivative. Then, we use this result to prove some new (p,q)b-integral inequalities related to Hermite–Hadamard inequalities for (p,q)b-differentiable convex ...
W. Luangboon +4 more
semanticscholar +2 more sources
Partial 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 +2 more sources
A Classical Limit of Noumi's q-Integral Operator [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2015 Artículo de publicación ISIWe demonstrate how a known Whittaker function integral identity arises from the t = 0 and q -> 1 limit of the Macdonald polynomial eigenrelation satisfied by Noumi's q-integral operator.Fondecyt ...
Corwin, I. +6 more
core +8 more sources
Some ($p$,$q$)-integral Inequalities
Sarajevo Journal of MathematicsIn this paper, we obtain a (p,q)-analogue of an open problem represented by Q. A. Ngo et al. in the paper, Notes on an integral inequality, J. Inequal. Pure and Appl. Math., 7(4) (2006), Art.
İlker Gençtürk
semanticscholar +2 more sources