Results 41 to 50 of about 5,587,423 (323)
q-LAPLACE TRANSFORM ON QUANTUM INTEGRAL [PDF]
, 2023 In this paper, we present q-Laplace transform by q-integral definition on quantum analogue.
Sarıkaya, Mehmet Zeki +4 more
core +1 more source
q-Integration on quantum spaces [PDF]
The European Physical Journal C, 2004 In this article we present formulae for q-integration on quantum spaces which could be of particular importance in physics, i.e. q-deformed Minkowski space and q-deformed Euclidean space in 3 or 4 dimensions. Furthermore, our formulae can be regarded as a generalization of Jackson's q-integral to 3 and 4 dimensions and provide a new possibility for an ...
openaire +2 more sources
On Some New Maclaurin’s Type Inequalities for Convex Functions in q-Calculus
Fractal 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
Several q-integral inequalities [PDF]
Journal of Mathematical Inequalities, 2009 In the present paper, several q -integral inequalities are shown, which stem from [F. Qi, Several integral inequalities, J. Inequal. Pure Appl. Math., 1(2)(2000), Art. 19; Available online at http://jipam.vu.edu.au/article.php?sid=113]. Mathematics subject classification (2000): 26A24, 26A39, 26D15, 81P99.
Yu Miao, Feng Qi
openaire +1 more source
Some results on quantum Hahn integral inequalities
Journal of Inequalities and Applications, 2019 In this paper the quantum Hahn difference operator and the quantum Hahn integral operator are defined via the quantum shift operator Φqθ(t)=qt+(1−q)θ $_{\theta }\varPhi _{q}(t)=qt+(1-q)\theta $, t∈[a,b] $t\in [a,b]$, θ=ω/(1−q)+a $\theta = \omega /(1-q)+a$
Suphawat Asawasamrit +3 more
doaj +1 more source
Symmetry, 2020 In this work the authors establish a new generalized version of Montgomery’s identity in the setting of quantum calculus. From this result, some new estimates of Ostrowski type inequalities are given using preinvex functions.
Miguel J. Vivas-Cortez +3 more
semanticscholar +1 more source
Elliptic extension of Gustafson's q-integral of type G2 [PDF]
Advances in Mathematics, 2020 The evaluation formula for an elliptic beta integral of type $G_2$ is proved. The integral is expressed by a product of Ruijsenaars' elliptic gamma functions, and the formula includes that of Gustafson's $q$-beta integral of type $G_2$ as a special limiting case as $p\to 0$.
Ito, Masahiko, Noumi, Masatoshi
openaire +3 more sources
Estimates of quantum bounds pertaining to new q-integral identity with applications
Advances in Differential Equations, 2020 In this article, we establish a new generalized q-integral identity involving a q-differentiable function. Using this new auxiliary result, we obtain some new associated quantum bounds essentially using the class of preinvex functions.
M. Awan +4 more
semanticscholar +1 more source
On q-integrals over order polytopes
Advances in Mathematics, 2017 33 pages, 8 ...
Kim, Jang Soo, Stanton, Dennis
openaire +4 more sources
q-Hardy type inequalities for quantum integrals
Advances in Difference Equations, 2021 The aim of this work is to obtain quantum estimates for q-Hardy type integral inequalities on quantum calculus. For this, we establish new identities including quantum derivatives and quantum numbers.
Necmettin Alp, Mehmet Zeki Sarikaya
doaj +1 more source