On q-Hermite-Hadamard Inequalities for Differentiable Convex Functions

S Jhanthanam, J Tariboon, SK Ntouyas, K Nonlaopon - Mathematics, 2019 - mdpi.com
In this paper, we establish some new results on the left-hand side of the q-Hermite–
Hadamard inequality for differentiable convex functions with a critical point. Our work …

Refinements of quantum Hermite-Hadamard-type inequalities

H Budak, S Khan, MA Ali, YM Chu - Open Mathematics, 2021 - degruyter.com
Refinements of quantum Hermite-Hadamard-type inequalities Skip to content Should you
have institutional access? Here's how to get it ... De Gruyter € EUR - Euro £ GBP - Pound …

A comprehensive review of the Hermite–Hadamard inequality pertaining to quantum calculus

M Tariq, SK Ntouyas, AA Shaikh - Foundations, 2023 - mdpi.com
A review of results on Hermite–Hadamard (HH) type inequalities in quantum calculus,
associated with a variety of classes of convexities, is presented. In the various classes of …

Inequalities for q-h-Integrals via -Convex and m-Convex Functions

D Chen, M Anwar, G Farid, W Bibi - Symmetry, 2023 - mdpi.com
This paper investigates several integral inequalities held simultaneously for q and h-
integrals in implicit form. These inequalities are established for symmetric functions using …

(p, q)-Hermite–Hadamard Inequalities for Double Integral and (p, q)-Differentiable Convex Functions

J Prabseang, K Nonlaopon, J Tariboon - Axioms, 2019 - mdpi.com
Axioms | Free Full-Text | (p, q)-Hermite–Hadamard Inequalities for Double Integral and (p, q)-Differentiable
Convex Functions Next Article in Journal Fixed Point Theorems via α-ϱ-Fuzzy Contraction …

On Hermite-Hadamard Type Inequalities for Coordinated Convex Functions via (p,q)-Calculus

F Wannalookkhee, K Nonlaopon, J Tariboon… - Mathematics, 2021 - mdpi.com
In this paper, we define (p, q)-integrals for continuous functions of two variables. Then, we
prove the Hermite-Hadamard type inequalities for coordinated convex functions by using (p …

Simpson- and Newton-Type Inequalities for Convex Functions via (p,q)-Calculus

W Luangboon, K Nonlaopon, J Tariboon, SK Ntouyas - Mathematics, 2021 - mdpi.com
In this paper, we establish several new (p, q)-integral identities involving (p, q)-integrals by
using the definition of a (p, q)-derivative. These results are then used to derive (p, q)-integral …

[PDF][PDF] On the refinement of quantum Hermite-Hadamard inequalities for continuous convex functions

J Prabseang, K Nonlaopon, SK Ntouyas - J. Math. Inequal, 2020 - researchgate.net
On the refinement of quantum Hermite-Hadamard inequalities for continuous convex
functions Page 1 Journal of Mathematical Inequalities Volume 14, Number 3 (2020), 875–885 …

Quantum estimates for different type intequalities through generalized convexity

OB Almutairi - Entropy, 2022 - mdpi.com
This article estimates several integral inequalities involving (h− m)-convexity via the
quantum calculus, through which Important integral inequalities including Simpson-like …

[PDF][PDF] Post-Quantum Ostrowski type integral inequalities for twice (p, q)-differentiable functions

W Luangboon, K Nonlaopon, J Tariboon… - J. Math …, 2022 - files.ele-math.com
In this paper, we establish a new (p, q)-integral identity using twice (p, q)-differentiable
functions. Then, we use this result to derive some new post-quantum Ostrowski type integral …