Refinements of Hermite–Hadamard Inequalities for Continuous Convex Functions via (p,q)-Calculus

J Prabseang, K Nonlaopon, J Tariboon, SK Ntouyas - Mathematics, 2021 - mdpi.com
In this paper, we present some new refinements of Hermite–Hadamard inequalities for
continuous convex functions by using (p, q)-calculus. Moreover, we study some new (p, q) …

New versions of the Hermite–Hadamard inequality for -integrals

SB Akbar, M Abbas, W Nazeer, H Budak - Boundary Value Problems, 2024 - Springer
In this paper, we prove some new versions of the Hermite–Hadamard inequality for $({\phi}-
h) $-integrals. For this aim, we use the tangent and secant lines at the same special points …

New Parameterized Inequalities for η-Quasiconvex Functions via (p, q)-Calculus

H Kalsoom, M Vivas-Cortez, M Idrees, P Agarwal - Entropy, 2021 - mdpi.com
In this work, first, we consider novel parameterized identities for the left and right part of the
(p, q)-analogue of Hermite–Hadamard inequality. Second, using these new parameterized …