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A certain ( p , q ) $(p,q)$ -derivative operator and associated divided differences
Journal of Inequalities and Applications, 2016 Recently, Sofonea (Gen. Math. 16:47-54, 2008) considered some relations in the context of quantum calculus associated with the q-derivative operator D q $D_{q}$ and divided difference. As applications of the post-quantum calculus known as the ( p , q ) $(
Serkan Araci +3 more
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Journal of Nonlinear Mathematical Physics, 2003 The author introduces the tilde operator, which is an involution operator on the parameters in a \(q\)-hypergeometric series. This operator together with the \(q\)-addition lead to a new method for computations and classifications of \(q\)-special functions. Various \(q\)-analogues of some classical functions and formulas are given.
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Fasciculi Mathematici, 2015 Abstract In this article, we let PCq denote the class of q-convex functions. Certain analytic properties of the class PCq are studied. The maximum of the absolute value of the Fekete-Szegö functional is briey determined.
Ezeafulukwe, Uzoamaka A., Darus, Maslina
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On Fejér Type Inequalities via (p,q)-Calculus [PDF]
Symmetry, 2021 In this paper, we use (p,q)-integral to establish some Fejér type inequalities. In particular, we generalize and correct existing results of quantum Fejér type inequalities by using new techniques and showing some problematic parts of those results. Most of the inequalities presented in this paper are significant extensions of results which appear in ...
Nuttapong Arunrat +4 more
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Mathematics, 2023 As a powerful tool for models of quantum computing, q-calculus has drawn the attention of many researchers in the discipline of special functions. In this paper, we present new properties and characterize q-Bessel functions of the first kind using some ...
Mohammed Fadel, Nusrat Raza, Wei-Shih Du
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Fractal and Fractional, 2022 A special function is a function that is typically entitled after an early scientist who studied its features and has a specific application in mathematical physics or another area of mathematics.
Najla M. Alarifi, Rabha W. Ibrahim
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Multiplicative Laplace transform in q−calculus
Filomat, 2023 In this study, we introduce q*-(or q-multiplicative) Laplace transform by means of q*-integral. Some properties of q*-Laplace transform are presented. Also, q*-Laplace transform can be utilized for solving q*-linear differential equations.
Mehmet Yilmazer +3 more
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Dunkl generalization of Szász operators via q-calculus [PDF]
Journal of Inequalities and Applications, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
ÇEKİM, BAYRAM, Icoz, GÜRHAN
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, 2021 In this study, a new representation is obtained for \emph{q}-calculus, as proposed by Borges [Phyica A 340 (2004) 95], and a new dual \emph{q}-integral is suggested.
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Arab Journal of Basic and Applied Sciences, 2023 The fractional q-calculus has attracted the interest of a large number of academics over the last four decades or so, due mainly to a wide range of applications that cover natural sciences to social sciences.
Biniyam Shimelis, D. L. Suthar
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