Some new Newton's type integral inequalities for co-ordinated convex functions in quantum calculus

M Vivas-Cortez, M Aamir Ali, A Kashuri, I Bashir Sial… - Symmetry, 2020 - mdpi.com
Some recent results have been found treating the famous Simpson's rule in connection with
the convexity property of functions and those called generalized convex. The purpose of this …

A new generalization of some quantum integral inequalities for quantum differentiable convex functions

YX Li, MA Ali, H Budak, M Abbas, YM Chu - Advances in Difference …, 2021 - Springer
In this paper, we offer a new quantum integral identity, the result is then used to obtain some
new estimates of Hermite–Hadamard inequalities for quantum integrals. The results …

New estimations of Hermite–Hadamard type integral inequalities for special functions

H Ahmad, M Tariq, SK Sahoo, J Baili, C Cesarano - Fractal and fractional, 2021 - mdpi.com
In this paper, we propose some generalized integral inequalities of the Raina type depicting
the Mittag–Leffler function. We introduce and explore the idea of generalized s-type convex …

The Hermite-Hadamard type inequality and its estimations via generalized convex functions of Raina type

M Tarıq, H Ahmad, SK Sahoo - Mathematical Modelling and …, 2021 - dergipark.org.tr
The theory of convexity plays an important role in various branches of science and
engineering. The main objective of this work is to introduce the idea of a generalized convex …

Some inequalities for a new class of convex functions with applications via local fractional integral

H Ge-JiLe, S Rashid, FB Farooq… - Journal of Function …, 2021 - Wiley Online Library
The understanding of inequalities in convexity is crucial for studying local fractional calculus
efficiency in many applied sciences. In the present work, we propose a new class of …

Quantum Estimates of Ostrowski Inequalities for Generalized ϕ-Convex Functions

MJ Vivas-Cortez, A Kashuri, R Liko, JEH Hernández - Symmetry, 2019 - mdpi.com
In this paper, the study is focused on the quantum estimates of Ostrowski type inequalities
for q-differentiable functions involving the special function introduced by RK Raina which …

Some New q—Integral Inequalities Using Generalized Quantum Montgomery Identity via Preinvex Functions

M Vivas-Cortez, A Kashuri, R Liko, JEH Hernández - Symmetry, 2020 - mdpi.com
In this work the authors establish a new generalized version of Montgomery's identity in the
setting of quantum calculus. From this result, some new estimates of Ostrowski type …

New quantum integral inequalities for some new classes of generalized ψ-convex functions and their scope in physical systems

S Rashid, S Parveen, H Ahmad, YM Chu - Open Physics, 2021 - degruyter.com
In the present study, two new classes of convex functions are established with the aid of
Raina's function, which is known as the ψ-s-convex and ψ-quasi-convex functions. As a …

Quantum Trapezium-Type Inequalities Using Generalized ϕ-Convex Functions

MJ Vivas-Cortez, A Kashuri, R Liko, JE Hernández - Axioms, 2020 - mdpi.com
In this work, a study is conducted on the Hermite–Hadamard inequality using a class of
generalized convex functions that involves a generalized and parametrized class of special …

Raina's Function-Based Formulations of Right-Sided Simpson's and Newton's Inequalities for Generalized Coordinated Convex Functions

M Vivas-Cortez, G Murtaza, GM Baig, MU Awan - Symmetry, 2023 - mdpi.com
The main focus of this article is to derive some new counterparts to Simpson's and Newton's
type inequalities involve a class of generalized coordinated convex map**s. This class …