Results 11 to 20 of about 10,706 (218)

Fractional (p,q)-Calculus on Finite Intervals and Some Integral Inequalities

open access: yes, 2021
Fractional q-calculus has been investigated and applied in a variety of fields in mathematical areas including fractional q-integral inequalities. In this paper, we study fractional (p,q)-calculus on finite intervals and give some basic properties.
Jessada Tariboon   +3 more
core   +1 more source

Simulation in the call-by-need lambda-calculus with letrec [PDF]

open access: yes, 2010
This paper shows the equivalence of applicative similarity and contextual approximation, and hence also of bisimilarity and contextual equivalence, in the deterministic call-by-need lambda calculus with letrec.
Sabel, David   +2 more
core   +1 more source

Generalizations of some integral inequalities related to Hardy type integral inequalities via ( p , q ) $(p,q)$ -calculus

open access: yes, 2021
In this paper, we study generalizations of some integral inequalities related to Hardy type integral inequalities via ( p , q ) $(p, q)$ -calculus. Many results obtained in this paper provide extensions of existing results in the literature. Furthermore,
Jessada Tariboon   +3 more
core   +1 more source

A certain ( p , q ) $(p,q)$ -derivative operator and associated divided differences [PDF]

open access: yes, 2016
Recently, Sofonea (Gen. Math. 16:47-54, 2008) considered some relations in the context of quantum calculus associated with the q-derivative operator D q $D_{q}$ and divided difference. As applications of the post-quantum calculus known as the ( p , q ) $(
Araci, Serkan   +7 more
core   +1 more source

Some integral inequalities via(p, q) −calculus on finite intervals

open access: yes, 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.
Tunç, Mevlüt, Göv, Esra
core   +1 more source

Lipschitz regularity for degenerate elliptic integrals with p, q-growth [PDF]

open access: yes, 2023
We establish the local Lipschitz continuity and the higher differentiability of vector-valued local minimizers of a class of energy integrals of the Calculus of Variations.
Passarelli Di Napoli A.   +3 more
core   +1 more source

On (p, q)-Opial type inequalities for (p, q)-calculus

open access: yes, 2021
In this paper, we establish some (p, q)-Opial type inequalities and generalization of (p, q)-Opial type ...
Sarıkaya, Mehmet Zeki   +2 more
core   +1 more source

A note on (p,q) $(p,q)$-Bernstein polynomials and their applications based on (p,q) $(p,q)$-calculus

open access: yes, 2018
Nowadays (p,q) $(p,q)$-Bernstein polynomials have been studied in many different fields such as operator theory, CAGD, and number theory. In order to obtain the fundamental properties and results of Bernstein polynomials by using (p,q) $(p,q)$-calculus ...
Erkan Agyuz   +3 more
core   +1 more source

The Picard and Gauss-Weierstrass Singular Integrals in (p, q)-Calculus

open access: yes, 2020
ARAL, Ali/0000-0002-2024-8607; Erbay, Hasan/0000-0002-7555-541XThe vast development of the techniques in both the quantum calculus and the post-quantum calculus leads to a significant increase in activities in approximation theory due to applications in ...
Deniz, E., Aral, A., Erbay, H.
core   +1 more source

On Durrmeyer Type λ-Bernstein Operators via (p, q)-Calculus

open access: yes, 2020
In the present paper, Durrmeyer type λ-Bernstein operators via (p, q)-calculus are constructed, the first and second moments and central moments of these operators are estimated, a Korovkin type approximation theorem is established, and the estimates on ...
Guorong Zhou, Qing-Bo Cai
core   +1 more source

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