Results 21 to 30 of about 1,674,032 (301)
Integral inequalities via fractional quantum calculus
Journal of Inequalities and Applications, 2016 In this paper we prove several fractional quantum integral inequalities for the new q-shifting operator Φ q a ( m ) = q m + ( 1 − q ) a ${_{a}}\Phi_{q}(m) = qm + (1-q)a$ introduced in Tariboon et al. (Adv. Differ. Equ.
Weerawat Sudsutad +2 more
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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 ...
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Volterra integral equations and fractional calculus: Do neighbouring solutions intersect? [PDF]
, 2012 This is the author's PDF version of an article published in Journal of Integral Equations and Applications. The definitive version is available at rmmc.asu.edu/jie/jie.html.This journal article considers the question of whether or not the solutions to ...
Diethelm, Kai, Ford, Neville J.
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Quantum Ostrowski-type inequalities for twice quantum differentiable functions in quantum calculus
Open Mathematics, 2021 In this paper, we first prove an identity for twice quantum differentiable functions. Then, by utilizing the convexity of ∣Dq2bf∣| {}^{b}D_{q}^{2}\hspace{0.08em}f| and ∣Dq2af∣| {}_{a}D_{q}^{2}\hspace{0.08em}f| , we establish some quantum Ostrowski ...
Ali Muhammad Aamir +3 more
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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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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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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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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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