Results 21 to 30 of about 158,926 (265)
The q-derivative and applications to q-Szász Mirakyan operators
Calcolo, 2006 The article is devoted to investigation of so-called \(q\)-Szász Mirakyan operators introduced recently by one of the authors. These operators are defined in the following way. For \(f\in C\left[0,\infty\right)\), \(q\in\left(0,1\right)\) and each natural \(n\) \[ S_n^q\left(f;x\right)\equiv S_n^q\left(f\right)\left(x\right)= E_q\left(-\left[n\right]_q{
Aral, Ali, Gupta, Vijay
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Coefficient inequalities for classes of univalent functions defined by q derivatives
Boletim da Sociedade Paranaense de Matemática, 2022 Using the principal of subordination and the qderivative, we obtain sharp bounds for some classes of univalent functions.
M. K. Aouf, Adela O. Mostafa, N. E. Cho
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Advances in Difference Equations, 2018 In this paper,we are interested in the existence and uniqueness of positive solutions for integral boundary value problem with fractional q-derivative: Dqαu(t)+f(t,u(t),u(t))+g(t,u(t))=0 ...
Furi Guo, Shugui Kang, Fu Chen
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, 2021 Il testo propone alcuni esercizi su derivate e q-derivate. La q-derivazione, che appartiene al q-calcolo, diventa quella ordinaria al limite per il parametro q tendente a 1. Le appendici sono dedicate alle derivate ordinarie.
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Advances in Difference Equations, 2020 In the article, we introduce the generalized exponentially μ-preinvex function, derive a new q-integral identity for second order q-differentiable function, and establish several new q-trapezoidal type integral inequalities for the function whose ...
Muhammad Uzair Awan +5 more
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A note on convolution of Janowski type functions with q-derivative
Acta Universitatis Sapientiae, Mathematica, 2023 Abstract The purpose of the present paper is to introduce and study new subclasses of analytic functions which generalize the classes of Janowski functions with q-derivative. We also study certain a convolution conditions, and apply the convolution conditions to get sufficient condition and the neighborhood results related to the ...
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On quantum trigonometric fractional calculus
Alexandria Engineering JournalIn this research work, we introduce an innovative concept known as the q-trigonometric derivative within the framework of the Caputo derivative. Our approach begins by introducing a novel notion of a trigonometric q-derivative and thoroughly examining ...
Lakhlifa Sadek, Ali Algefary
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On the q−derivatives of a new sequence of operators
Le Matematiche, 2013 In this paper we obtain moment estimates for a new sequence of q−operators very recently introduced by Aral and Gupta [1]. We obtain degree of approximation by the q−derivatives of these operators. We show that for a fixed q, these operators do not possess simultaneous approximation properties.
Asha Ram Gairola, Girish Dobhal
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Structural scale q-derivative and the LLG equation in a scenario with fractionality [PDF]
EPL (Europhysics Letters), 2017 In the present contribution, we study the Landau-Lifshitz-Gilbert equation with two versions of structural derivatives recently proposed: the scale $q-$derivative in the non-extensive statistical mechanics and the axiomatic metric derivative, which presents Mittag-Leffler functions as eigenfunctions.
Weberszpil, José +1 more
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On q-Operators and Summation of Some q-Series
International Journal of Mathematics and Mathematical Sciences, 2010 Using Jackson's q-derivative and the q-Stirling numbers, we establish some transformation theorems leading to the values of some convergent q-series.
Sana Guesmi, Ahmed Fitouhi
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