Results 31 to 40 of about 2,570,036 (296)
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
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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
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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
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A Note On q-Integral Operators
Electronic Notes in Discrete Mathematics, 2018 Abstract In this article, a q-integral operator which is analogue to the well known Bernardi integral operator is investigated. Integral preserving property for a subclass of analytic functions defined by this q-operator is proved. Moreover, special new q-integral operators are obtained as consequences.
Huda Al-dweby, Maslina Darus
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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
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On q-integrals over order polytopes
Advances in Mathematics, 2017 33 pages, 8 ...
Kim, Jang Soo, Stanton, Dennis
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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
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An inequality for q-integral and its applications [PDF]
Journal of Inequalities and Applications, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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O q-Integral de Jackson. [PDF]
, 2010 O q-integral de Jackson tem sido usado para defenir em alguns casos particulares, relacôes de ortogonalidade entre funcões hipergeometricas basicas. Alguns exemplos podem ser encontrados nas referencias bibliograficas. Neste trabalho estabelecemos condicoes gerais em a e b de modo a permitir obter um produto interno definido num espaco (vectorial ...
Teixeira, Marcelo André da Silva
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Inequalities which include q-integrals
Bulletin: Classe des sciences mathematiques et natturalles, 2006 The main problem in analyzing inequalities which include q-integrals is the fact that q-integral of a function over an interval [a; b] (0 < a < b) is defined by the difference of two infinite sums. Thus defined q- integral properties must include the points outside of interval of integration.
Stanković, M. S. +2 more
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