T-spherical fuzzy Einstein hybrid aggregation operators and their applications in multi-attribute decision making problems

M Munir, H Kalsoom, K Ullah, T Mahmood, YM Chu - Symmetry, 2020 - mdpi.com
T-spherical fuzzy set is a recently developed model that copes with imprecise and uncertain
events of real-life with the help of four functions having no restrictions. This article's aim is to …

Some new Simpson's type inequalities for coordinated convex functions in quantum calculus

MA Ali, H Budak, Z Zhang… - Mathematical Methods in …, 2021 - Wiley Online Library
In this article, by using the notion of newly defined q 1 q 2 derivatives and integrals, some
new Simpson's type inequalities for coordinated convex functions are proved. The outcomes …

[HTML][HTML] 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 …

Multiplicatively Simpson type inequalities via fractional integral

A Moumen, H Boulares, B Meftah, R Shafqat, T Alraqad… - Symmetry, 2023 - mdpi.com
Multiplicative calculus, also called non-Newtonian calculus, represents an alternative
approach to the usual calculus of Newton (1643–1727) and Leibniz (1646–1716). This type …

[HTML][HTML] Some new Simpson's-formula-type inequalities for twice-differentiable convex functions via generalized fractional operators

MA Ali, H Kara, J Tariboon, S Asawasamrit, H Budak… - Symmetry, 2021 - mdpi.com
From the past to the present, various works have been dedicated to Simpson's inequality for
differentiable convex functions. Simpson-type inequalities for twice-differentiable functions …

A New Version of q-Hermite-Hadamard's Midpoint and Trapezoid Type Inequalities for Convex Functions

MA Ali, H Budak, M Fečkan, S Khan - Mathematica Slovaca, 2023 - degruyter.com
In this paper, we establish a new variant of q-Hermite-Hadamard inequality for convex
functions via left and right q-integrals. Moreover, we prove some new q-midpoint and q …

On Grüss inequalities within generalized K-fractional integrals

S Rashid, F Jarad, MA Noor, KI Noor… - Advances in Difference …, 2020 - Springer
In this paper, we introduce the generalized K K-fractional integral in the frame of a new
parameter K> 0 K>0. This paper offers some new important inequalities of Grüss type using …

[HTML][HTML] Fractional integral inequalities for strongly h-preinvex functions for ak th order differentiable functions

S Rashid, MA Latif, Z Hammouch, YM Chu - Symmetry, 2019 - mdpi.com
The objective of this paper is to derive Hermite-Hadamard type inequalities for several
higher order strongly h-preinvex functions via Riemann-Liouville fractional integrals. These …

New Estimates of q1q2‐Ostrowski‐Type Inequalities within a Class of n‐Polynomial Prevexity of Functions

H Kalsoom, M Idrees, D Baleanu… - Journal of Function …, 2020 - Wiley Online Library
In this article, we develop a novel framework to study for a new class of preinvex functions
depending on arbitrary nonnegative function, which is called n‐polynomial preinvex …

[HTML][HTML] Some (p, q)-Estimates of Hermite-Hadamard-Type Inequalities for Coordinated Convex and Quasi- Convex Functions

H Kalsoom, M Amer, MD Junjua, S Hussain… - Mathematics, 2019 - mdpi.com
In this paper, we present the preliminaries of (p, q)-calculus for functions of two variables.
Furthermore, we prove some new Hermite-Hadamard integral-type inequalities for convex …