Results 11 to 20 of about 905,072 (302)

Can Umbral and q-calculus be merged? [PDF]

, 2019
The q-calculus is reformulated in terms of the umbral calculus and of the associated operational formalism. We show that new and interesting elements emerge from such a restyling. The proposed technique is applied to a different formulations of q special
G. Dattoli, B. Germano, M. R. Martinelli, K. Gorska   +3 more
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On fractional (p,q) $(p,q)$-calculus [PDF]

Advances in Difference Equations, 2020
In this paper, the new concepts of (p,q) $(p,q)$-difference operators are introduced. The properties of fractional (p,q) $(p,q)$-calculus in the sense of a (p,q) $(p,q)$-difference operator are introduced and developed.
Jarunee Soontharanon, Thanin Sitthiwirattham   +1 more
doaj   +3 more sources

Integral inequalities in q-calculus

Computers & Mathematics with Applications, 2004
In this paper, q-calculus analogues of some classical and some recent integral inequalities are found.
Gauchman, H.
core   +3 more sources

Applications of q-calculus in operator theory

, 2013
The approximation of functions by linear positive operators is an important research topic in general mathematics and it also provides powerful tools to application areas such as computer-aided geometric design, numerical analysis, and solutions of ...
Gupta V., Aral A., Agarwal R.P.
core   +3 more sources

Variational q-calculus

Journal of Mathematical Analysis and Applications, 2004
We propose q-versions of some basic concepts of continuous variational calculus such as the Euler–Lagrange equation and its applications to the isoperimetric, Lagrange and optimal control problems (“the maximum principle”), and also to the Hamilton ...
Bangerezako, Gaspard
core   +3 more sources

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

Journal of Inequalities and Applications, 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, Mehmet Acikgoz
doaj   +2 more sources

Some Carleman-type inequalities in ( p , q ) $(p,q)$ -calculus

Journal of Inequalities and Applications
In this paper, we construct ( p , q ) $\left (p,q\right )$ -type Jessen’s inequality using the properties of convex functions. On this basis, we generalize the classical Carleman integral-type inequality in ( p , q ) $\left (p,q\right )$ -calculus and ...
Jiao Yu, Lin Han
doaj   +3 more sources

On convolution and q-calculus [PDF]

Boletín de la Sociedad Matemática Mexicana, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Piejko, Krzysztof, Sokół, Janusz
openaire   +4 more sources

An Introduction to Calculus in the q− Real Spinor Variables

Revista Integración
In this paper we introduce the calculus in q− real spinor variables. We establish the q− difference operator for q− real spinor variables and the q− spinor real integral formulas.
Julio Cesar Jaramillo Quiceno
doaj   +3 more sources

Wirtinger type q-integral inequalities on q-calculus [PDF]

, 2021
In this study, we obtained two kinds of Wirtinger type q-inequalities on quantum calculus. Then, we proved a more general Wirtinger type q-integral inequality. With all these, we obtained classical results for q -> 1(-)
Necmettin Alp, Alp, Necmettin
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