Results 41 to 50 of about 4,682 (150)
Fundamentals of Right Hahn q‐Symmetric Calculus and Related Inequalities
Journal of Function Spaces, Volume 2026, Issue 1, 2026.Hahn symmetric quantum calculus is a generalization of symmetric quantum calculus. Motivated by the Hahn symmetric quantum calculus, we present the right Hahn symmetric derivative and integral, which are novel definitions for derivative and definite integral in Hahn symmetric quantum calculus.
Muhammad Nasim Aftab +3 more
wiley +1 more source
On Upper Estimations of Hermite–Hadamard Inequalities
MathematicsConvex functions play a key role in many branches of pure and applied mathematics. In this paper, we prove that if a convex function is not continuous, then the classical Hermite–Hadamard inequality, the Hermite–Hadamard inequality for the Riemann ...
Yasin Kaya
doaj +1 more source
Conformable Fractional Integrals Versions of Hermite-Hadamard Inequalities and Their Generalizations
Journal of Function Spaces, 2018 We prove new Hermite-Hadamard inequalities for conformable fractional integrals by using convex function, s-convex, and coordinate convex functions. We prove new Montgomery identity and by using this identity we obtain generalized Hermite-Hadamard type ...
Muhammad Adil Khan +4 more
doaj +1 more source
A Generalised Trapezoid Type Inequality for Convex Functions [PDF]
, 2002 A generalised trapezoid inequality for convex functions and applications for quadrature rules are given. A refinement and a counterpart result for the Hermite-Hadamard inequalities are obtained and some inequalities for pdf's and (HH)-divergence measure ...
Dragomir, Sever Silvestru
core +2 more sources
Journal of Mathematics, Volume 2026, Issue 1, 2026.We derive the left‐ and right‐sided fractional Hermite–Hadamard (H–H)‐type inequalities for harmonic convex mappings from the left‐ and right‐sided fractional integral operators possessing exponential kernels. In addition, we introduce two variants of fractional equalities that are further deployed with the idea differentiable harmonic convex mappings ...
Hira Inam +4 more
wiley +1 more source
Matrix Hermite-Hadamard type inequalities [PDF]
, 2013 We present several matrix and operator inequalities of Hermite-Hadamard type. We first establish a majorization version for monotone convex functions on matrices. We then utilize the Mond-Pecaric method to get an operator version for convex functions. We
Moslehian, Mohammad Sal
core
Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper explores a new class of convexity, namely, strongly n‐polynomial exponential‐type s‐convexity. We developed some basic results related to this convexity including few algebraic properties. Three examples have been provided for the verification of newly introduced convexity.
Khuram Ali Khan +4 more
wiley +1 more source
Fractal and Fractional, 2022 In this paper, we use two new fractional integral operators with exponential kernel about the midpoint of the interval to construct some Hermite–Hadamard type fractional integral inequalities for h-convex functions.
Yaoqun Wu
doaj +1 more source
Generalisations of Integral Inequalities of Hermite-Hadamard type through Convexity
, 2012 In this paper, we establish various inequalities for some differentiable mappings that are linked with the illustrious Hermite-Hadamard integral inequality for mappings whose derivatives are $s$-$(\alpha,m)$-convex.The generalised integral inequalities ...
Bhatti, Muhammad Iqbal +2 more
core +1 more source
New Inequalities and an Integral Expression for the 𝒜‐Berezin Number
Journal of Mathematics, Volume 2026, Issue 1, 2026.This work examines a reproducing kernel Hilbert space XF,·,· constructed on a nonempty set F. Our investigation focuses on the A‐Berezin number and the A‐Berezin norm, where A denotes a positive bounded linear operator acting on XF. For an A‐bounded linear operator B, the A‐Berezin seminorm is defined by BberA=supλ,ν∈FBu∧λ,u∧νA, where u∧λ and u∧ν are ...
Salma Aljawi +4 more
wiley +1 more source