Results 11 to 20 of about 2,972,572 (324)
The different tongues of q-calculus; pp. 81–99 [PDF]
Proceedings of the Estonian Academy of Sciences, 2008 In this review paper we summarize the various dialects of q-calculus: quantum calculus, time scales, and partitions. The close connection between Îq(x) functions on the one hand, and elliptic functions and theta functions on the other hand will be shown.
Thomas Ernst
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Applications of q-Calculus in Operator Theory
, 2013 The approximation of functions by linear positive operators is an important research topic in general mathematics and it also provides powerful tools to application areas such as computer-aided geometric design, numerical analysis, and solutions of differential equations.
Aral A., Gupta V., Agarwal R.P.
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Can Umbral and q-calculus be merged? [PDF]
, 2019 The $q$-calculus is reformulated in terms of the umbral calculus and of the associated operational formalism. We show that new and interesting elements emerge from such a restyling. The proposed technique is applied to a different formulations of $q$ special functions, to the derivation of integrals involving ordinary and $q$-functions and to the study
G. Dattoli +3 more
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Integral inequalities in q-calculus [PDF]
Computers & Mathematics with Applications, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gauchman, H.
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Journal of Mathematical Analysis and Applications, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bangerezako, Gaspard
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The Schr¨odinger equations generated by q-Bessel operator in quantum calculus [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 In this paper, we obtain exact solutions of a new modification of the Schrödinger equation related to the Bessel q -operator. The theorem is proved on the existence of this solution in the Sobolev-type space Wq2(R+q ) in the q -calculus.
S. Shaimardan, N.S. Tokmagambetov
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On Iterative Methods for Solving Nonlinear Equations in Quantum Calculus
Fractal and Fractional, 2021 Quantum calculus (also known as the q-calculus) is a technique that is similar to traditional calculus, but focuses on the concept of deriving q-analogous results without the use of the limits.
Gul Sana +4 more
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Some integral inequalities via (p,q)-calculus on finite intervals
Filomat, 2021 The aim of this paper is to construct (p,q)-calculus on finite intervals. The (pk,qk)-derivative and (pk,qk)-integral are defined and some basic properties are given. Also, (pk,qk)-analogue of H?lder, Minkowski integral inequalities are proved.
Mevlut Tunc, E. Göv
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Statistical Convergence via q-Calculus and a Korovkin's Type Approximation Theorem
Axioms, 2022 In this paper, we define and study q-statistical limit point, q-statistical cluster point, q-statistically Cauchy, q-strongly Cesàro and statistically C1q-summable sequences.
Mohammad Ayman Mursaleen +1 more
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Mathematics, 2023 In this article, a new linear extended multiplier operator is defined utilizing the q-Choi–Saigo–Srivastava operator and the q-derivative. Two generalized subclasses of q—uniformly convex and starlike functions of order δ—are defined and studied using ...
E. E. Ali +3 more
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