Results 21 to 30 of about 1,838,482 (246)

Some trapezoid and midpoint type inequalities via fractional ( p , q ) $(p,q)$ -calculus

open access: yesAdvances in Difference Equations, 2021
Fractional calculus is the field of mathematical analysis that investigates and applies integrals and derivatives of arbitrary order. Fractional q-calculus has been investigated and applied in a variety of research subjects including the fractional q ...
Pheak Neang   +4 more
doaj   +1 more source

A new method q-calculus

open access: yes, 2002
In q-calculus we are looking for q-analogues of mathematical objects, which have the original object as limits when q tends to 1. q-Calculus has wide-ranging applications in analytic number theory and theoretical physics.
Ernst, Thomas,, Srivastava, Hari M.,
core   +5 more sources

Nozioni di q-calcolo nell'ambito del quantum calculus [PDF]

open access: yes, 2021
Il testo propone alcune nozioni di q-calcolo nell'ambito del quantum calculus. Si daranno definizioni, dimostrazioni ed esercizi, partendo dai q-numeri e q-binomi. Si definirà la q-derivazione.
Sparavigna, Amelia Carolina   +1 more
core   +1 more source

Tsallis entropy on fractal sets

open access: yesJournal 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
doaj   +1 more source

On New Unified Bounds for a Family of Functions via Fractional q-Calculus Theory

open access: yesJournal 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
doaj   +1 more source

Hahn Laplace transform and its applications

open access: yesDemonstratio 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
doaj   +1 more source

On Some New Maclaurin’s Type Inequalities for Convex Functions in q-Calculus

open access: yesFractal 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
doaj   +1 more source

The Falling Body Problem in Quantum Calculus

open access: yesFrontiers 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
doaj   +1 more source

The Properties of Meromorphic Multivalent q-Starlike Functions in the Janowski Domain

open access: yesFractal 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
doaj   +1 more source

A Study of New Class of Star-Like Functions Associated by Symmetric p,q-Calculus

open access: yesJournal 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
doaj   +1 more source

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