Results 11 to 20 of about 11,158 (238)
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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Tsallis entropy on fractal sets
Journal of Taibah University for Science, 2021 In this article, we review fractal calculus ( $ F^{\alpha } $ -calculus) and define generalized Tsallis entropy on the fractal sets which is called fractal Tsallis entropy.
Alireza Khalili Golmankhaneh
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Hahn Laplace transform and its applications
Demonstratio Mathematica, 2023 Like qq-calculus, Hahn calculus (or q,ωq,\omega -calculus) is constructed by defining a difference derivative operator and an integral operator. The q,ωq,\omega -analogs of the integral representations of the Laplace transform and related special ...
Hıra Fatma
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The Properties of Meromorphic Multivalent q-Starlike Functions in the Janowski Domain
Fractal and Fractional, 2023 Many researchers have defined the q-analogous of differential and integral operators for analytic functions using the concept of quantum calculus in the geometric function theory.
Isra Al-Shbeil +5 more
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On New Unified Bounds for a Family of Functions via Fractional q-Calculus Theory
Journal of Function Spaces, 2020 The present article deals with the new estimates in q-calculus and fractional q-calculus on a time scale Tt0=0∪t:t=t0qn,n is a nonnegative integer, where t0∈ℝ and ...
Li Xu +4 more
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On Some New Maclaurin’s Type Inequalities for Convex Functions in q-Calculus
Fractal and Fractional, 2023 This work establishes some new inequalities to find error bounds for Maclaurin’s formulas in the framework of q-calculus. For this, we first prove an integral identity involving q-integral and q-derivative.
Thanin Sitthiwirattham +2 more
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Fractional q-Calculus on a time scale [PDF]
Journal of Nonlinear Mathematical Physics, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Atici, Ferhan M., Eloe, Paul W.
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The Falling Body Problem in Quantum Calculus
Frontiers in Physics, 2020 The quantum calculus, q-calculus, is a relatively new branch in which the derivative of a real function can be calculated without limits. In this paper, the falling body problem in a resisting medium is revisited in view of the q-calculus to the first ...
Abdulaziz M. Alanazi +3 more
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A Study of New Class of Star-Like Functions Associated by Symmetric p,q-Calculus
Journal of Mathematics, 2021 As of late quantum calculus is broadly utilized in different parts of mathematics. Uniquely, the hypothesis of univalent functions can be newly portrayed by utilizing q-calculus.
Khalid Akbar +5 more
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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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