Different types of quantum integral inequalities via -convexity

Y Zhang, TS Du, H Wang, YJ Shen - Journal of Inequalities and …, 2018 - Springer
Different types of quantum integral inequalities via $(\alpha ,m)$ -convexity | Journal of
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[PDF][PDF] Certain quantum estimates on the parameterized integral inequalities and their applications

TS Du, CY Luo, B Yu - J. Math. Inequal, 2021 - researchgate.net
The present paper aims to study the parameterized inequalities of Hadamard–Simpson type
for quantum integrals. By employing a quantum integral identity of multi-parameter, we …

Some inequalities using generalized convex functions in quantum analysis

MJ Vivas-Cortez, A Kashuri, R Liko, JEH Hernández - Symmetry, 2019 - mdpi.com
In the present work, the Hermite–Hadamard inequality is established in the setting of
quantum calculus for a generalized class of convex functions depending on three …

ON GENERAL LOCAL FRACTIONAL INTEGRAL INEQUALITIES FOR GENERALIZED -PREINVEX FUNCTIONS ON YANG'S FRACTAL SETS

Y Zhang, W Sun - Fractals, 2024 - World Scientific
In this paper, based on Yang's fractal theory, the Hermite–Hadamard's inequalities for
generalized h-preinvex function are proved. Then, using the local fractional integral identity …

Some local fractional integral inequalities for generalized preinvex functions and applications to numerical quadrature

W Sun - Fractals, 2019 - World Scientific
In this paper, a new identity with parameters involving local fractional integrals is derived.
Using this identity, some general local fractional integral inequalities for generalized …

Quantum integral inequalities of Simpson-type for strongly preinvex functions

Y Deng, MU Awan, S Wu - Mathematics, 2019 - mdpi.com
In this paper, we establish a new q-integral identity, the result is then used to derive two q-
integral inequalities of Simpson-type involving strongly preinvex functions. Some special …

Some inequalities using s-preinvexity via quantum calculus

PP Wang, T Zhu, TS Du - Journal of Interdisciplinary Mathematics, 2021 - Taylor & Francis
Utilizing map**s whose first derivatives absolute values are s-preinvex, we present a
unified approach to investigating some different types of quantum integral inequalities such …

[PDF][PDF] On Simpson type inequalities for generalized strongly preinvex functions via (p, q)-calculus and applications

W Luangboon, K Nonlaopon, J Tariboon, SK Ntouyas - AIMS Math, 2021 - aimspress.com
In this paper, we establish a new (p, q)-integral identity. Then, the obtained result is
employed to derive (p, q)-integral Simpson type inequalities involving generalized strongly …

On the refinements of some important inequalities via -calculus and their applications

B Yu, CY Luo, TS Du - Journal of Inequalities and Applications, 2021 - Springer
We establish some interesting refinements of the ( p , q ) \documentclass[12pt]{minimal} \usepackage{amsmath}
\usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} …

Some New Hermite-Hadamard and Ostrowski Type Inequalities for s-Preinvex Functions in (p, q)-Calculus With Applications

SK Mishra, V Singh - Bulletin of the Iranian Mathematical Society, 2023 - Springer
In this paper, we introduce a new Hermite-Hadamard type inequality by using post-quantum
calculus for s-preinvex function and establish a new (p, q)-integral identity to derive some …