Results 31 to 40 of about 13,043 (276)
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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The homotopy analysis method for q-difference equations
Ain Shams Engineering Journal, 2018 The q-difference equations are kind of important problems in q-calculus and applied mathematics. In this paper, the homotopy analysis method is extended to find approximate solution for some of q-differential equations.
Mourad S. Semary, Hany N. Hassan
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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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q-CALCULUS AND THE DISCRETE INVERSE SCATTERING [PDF]
Modern Physics Letters A, 1995 The discrete inverse scattering in one dimension has been re-identified with lattice calculus. By transforming the deformation parameter, the coordinate and the partial derivatives from lattice space to q-space, the Schrödinger equation with a potential is systematically analyzed.
Karlo, T., Jacob, H., Tripathy, K. C.
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Feynman-Jackson integrals [PDF]
, 2006 We introduce perturbative Feynman integrals in the context of q-calculus generalizing the Gaussian q-integrals introduced by Diaz and Teruel. We provide analytic as well as combinatorial interpretations for the Feynman-Jackson integrals.Comment: Final ...
Andrews G +5 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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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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A unified approach to linear probing hashing with buckets [PDF]
, 2014 We give a unified analysis of linear probing hashing with a general bucket size. We use both a combinatorial approach, giving exact formulas for generating functions, and a probabilistic approach, giving simple derivations of asymptotic results.
Janson, Svante, Viola, Alfredo
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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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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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