Results 61 to 70 of about 250 (174)

Hermite-Hadamard type fractional integral inequalities for MT(m,ϕ)-preinvex functions [PDF]

, 2017
In the present paper, a new class of MT(m,ϕ)-preinvex functions is in- troduced and some new integral inequalities for the left-hand side of Gauss-Jacobi type quadrature formula involving MT(m,ϕ)-preinvex functions are given.
LIKO, Rozana, KASHURI, Artion
core   +1 more source

Different type parameterized inequalities via generalized integral operators with applications

, 2021
The authors have proved an identity for a generalized integral operator via differentiable function with parameters. By applying the established identity, the generalized trapezium, midpoint and Simpson type integral inequalities have been discovered. It
LIKO, Rozana, KASHURI, Artion
core   +1 more source

Refined Weighted Schweitzer‐Type Inequalities With Applications to Statistical Moments

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we establish a weighted version of the classical Schweitzer integral inequality for positive bounded functions. We first derive a sharp upper bound for the product of two weighted integrals involving a function and its reciprocal. We then obtain a refined form of the inequality containing an explicit nonnegative remainder term, which ...
Rubayyi T. Alqahtani, Mehmet Zeki Sarikaya, Smritijit Sen   +2 more
wiley   +1 more source

Ostrowski type fractional integral operators for generalized (r; g, s, m, ϕ)-preinvex functions [PDF]

, 2018
In the present paper, the notion of generalized (r; g, s, m, ϕ)-preinvex function is applied for establish some new generalizations of Ostrowski type in- equalities via fractional integral operators.
LIKO, Rozana, KASHURI, Artion
core   +1 more source

Stability of the second order partial differential equations [PDF]

, 2011
We say that a functional equation (ξ) is stable if any function g satisfying the functional equation (ξ) approximately is near to a true solution of (ξ).
M Eshaghi Gordji, MB Ghaemi, YJ Cho, B Alizadeh   +3 more
core   +2 more sources

Copson-type Inequalities via the k-Hadamard Operator

Annals of the West University of Timisoara: Mathematics and Computer Science
In this paper, we present a novel class of Copson-type inequalities involving the right-sided k-Hadamard fractional integral operator with all parameters of integrability p ≠ 0 and obtain some classical special cases of Copson inequalities.
Benaissa Bouharket, Azzouz Noureddine
doaj   +1 more source

Inequalities for Products of Two Kinds of Convexities and Consequent Results

Journal of Mathematics, Volume 2026, Issue 1, 2026.
The product of two convex functions is convex under certain conditions, which have motivated extensions to generalized convexities. In the present paper, we establish new Hermite–Hadamard–type inequalities for the product of m‐convex and (α, m)‐convex functions.
Abdur Rehman, Hala H. Taha, Waqas Nazeer, Jongsuk Ro, Smritijit Sen   +4 more
wiley   +1 more source

Differential Methods for HU Stability of Backward Shift Operators via Weight Sequences

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper introduces a new concept of jth weighted backward shift operators on weighted Hardy spaces Hμ2. We introduce the operator Ωγj and characterize its boundedness in certain sequences associated with the weights. After that, we establish HU stability of the jth weighted backward shift operator Υenj and provide conditions under which stability ...
Zohreh Kefayati, Mohammad Taghi Heydari, Nawab Hussain, Hamed Alsulmi, Tareq Al-shami   +4 more
wiley   +1 more source

LADM procedure to find the analytical solutions of the nonlinear fractional dynamics of partial integro-differential equations

Demonstratio Mathematica
Generally, fractional partial integro-differential equations (FPIDEs) play a vital role in modeling various complex phenomena. Because of the several applications of FPIDEs in applied sciences, mathematicians have taken a keen interest in developing and ...
Khan Qasim, Khan Hassan, Kumam Poom, Tchier Fairouz, Singh Gurpreet   +4 more
doaj   +1 more source

Some New Hermite–Hadamard–Type Inequalities Using the Erdélyi–Kober Fractional Integral Operator for Mappings Defined on Harmonic Sets With Applications to Error Estimates of Numerical Integration Formulas

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this work, we establish several new variants of the Hermite–Hadamard integral inequality, together with various product‐type extensions, by employing the Erdélyi–Kober fractional integral operator for mappings defined on harmonic sets. To demonstrate the validity and effectiveness of the obtained results, we present nontrivial numerical examples ...
Yahya Almalki, Waqar Afzal, Najla M. Aloraini, Ahmad Albaity, Joshua Kiddy K. Asamoah, Smritijit Sen   +5 more
wiley   +1 more source