Results 1 to 10 of about 1,674,032 (301)
q-Integral inequalities associated with some fractional q-integral operators [PDF]
Journal of Inequalities and Applications, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Agarwal, P +3 more
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Partial Differential Equations in Applied Mathematics, 2023 In this paper, we employ the q-difference equation technique to generalize some well-known q-integrals such as the extension of Askey–Roy q-integral, Andrews–Askey q-integral, and Askey–Wilson q-integral.
Faiz A. Reshem, Husam L. Saad
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Trapezoid and Midpoint Type Inequalities for Preinvex Functions via Quantum Calculus
Mathematics, 2021 In this article, we use quantum integrals to derive Hermite–Hadamard inequalities for preinvex functions and demonstrate their validity with mathematical examples.
Surang Sitho +4 more
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Journal of Inequalities and Applications, 2021 We establish some interesting refinements of the ( p , q ) $(p,q)$ -Hölder integral inequality and the ( p , q ) $(p,q)$ -power-mean integral inequality. As applications, we show that some existing ( p , q ) $(p,q)$ -integral inequalities can be improved
Bo Yu, Chun-Yan Luo, Ting-Song Du
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Montgomery identity and Ostrowski-type inequalities via quantum calculus
Open Mathematics, 2021 In this paper, we prove a quantum version of Montgomery identity and prove some new Ostrowski-type inequalities for convex functions in the setting of quantum calculus.
Sitthiwirattham Thanin +4 more
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On some new quantum midpoint-type inequalities for twice quantum differentiable convex functions
Open Mathematics, 2021 The present paper aims to find some new midpoint-type inequalities for twice quantum differentiable convex functions. The consequences derived in this paper are unification and generalization of the comparable consequences in the literature on midpoint ...
Ali Muhammad Aamir +4 more
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On New Estimates of q-Hermite–Hadamard Inequalities with Applications in Quantum Calculus
Axioms, 2023 In this paper, we first establish two quantum integral (q-integral) identities with the help of derivatives and integrals of the quantum types. Then, we prove some new q-midpoint and q-trapezoidal estimates for the newly established q-Hermite-Hadamard ...
Saowaluck Chasreechai +6 more
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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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Demonstratio Mathematica, 2023 In this article, we introduce and study a new class of hybrid fractional qq-integro-difference equations involving Riemann-Liouville qq-derivatives, supplemented with nonlocal boundary conditions containing Riemann-Liouville qq-integrals of different ...
Alsaedi Ahmed +3 more
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Generalization of Quantum Ostrowski-Type Integral Inequalities
Mathematics, 2021 In this paper, we prove some new Ostrowski-type integral inequalities for q-differentiable bounded functions. It is also shown that the results presented in this paper are a generalization of know results in the literarure.
Muhammad Aamir Ali +2 more
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