Results 31 to 40 of about 1,829,120 (282)

Certain subclass of bi-univalent functions associated with the Chebyshev polynomials based on q-derivative symmetric q-derivative

open access: yesSERIES III - MATEMATICS, INFORMATICS, PHYSICS, 2020
In this paper, we introduce new subclass Beq σB (λ, t) of bi-univalent functions by applying the Chebyshev polynomials. In the following, we obtain bounds for the initial coefficients and the Fekete-Szeg¨o inequalities for functions in this subclass. The results presented in this paper generalize the recent work of Altinkaya and Yalcın.
Nanjundan Magesh   +2 more
openaire   +1 more source

Coefficient inequalities for classes of univalent functions defined by q derivatives

open access: yesBoletim 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
openaire   +3 more sources

Certain Results of (p, q)-Analogue of Aleph-Function with (p, q)-Derivative [PDF]

open access: yes, 2021
In this paper, the authors have derived the (p,q)-analogue of Aleph-Function with (p,q)-derivative by using the generalization of the Gamma and Beta functions.
K. Jain, D.   +3 more
core   +1 more source

Derivate e q-derivate

open access: yes, 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.
openaire   +11 more sources

Existence and uniqueness results to positive solutions of integral boundary value problem for fractional q-derivatives

open access: yesAdvances 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
doaj   +1 more source

A note on convolution of Janowski type functions with q-derivative

open access: yesActa 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 ...
openaire   +3 more sources

On quantum trigonometric fractional calculus

open access: yesAlexandria Engineering Journal
In 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
doaj   +1 more source

A new q-integral identity and estimation of its bounds involving generalized exponentially μ-preinvex functions

open access: yesAdvances 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
doaj   +1 more source

On the q−derivatives of a new sequence of operators

open access: yesLe 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
openaire   +2 more sources

On the solutions of some fractional q-differential equations with the Riemann-Liouville fractional q-derivative [PDF]

open access: yes, 2021
This paper is devoted to explicit and numerical solutions to linear fractional q-difference equations and the Cauchy type problem associated with the Riemann-Liouville fractional q-derivative in q-calculus.
S. Shaimardan   +2 more
core   +2 more sources

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