Results 41 to 50 of about 147 (123)

Weighted Inequalities of Milne‐Type and Applications: Bridging Classical and Fractional Integrals

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In this study, weighted Milne‐type inequalities are derived for classical integrals, and by selecting special weight functions, several Milne‐type inequalities are presented for well‐known fractional integrals, such as Riemann–Liouville fractional integrals, conformable fractional integrals, and tempered fractional integrals.
Hüseyin Budak, Marko Kostic
wiley   +1 more source

Monotone and convex H*‐algebra valued functions

International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 3, Page 473-479, 1996., 1995
Classical theorems about monotone and convex functions are generalized to the case of H*‐algebra valued functions. Also there are new examples of a vector measure.
Parfeny P. Saworotnow
wiley   +1 more source

Milne‐Type Inequalities in the Context of Conformable Fractional Multiplicative Integrals

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
This paper examines Milne inequalities in the setting of conformal fractional multiplicative integrals, which represent a modern extension of traditional fractional calculus. Drawing on advances in multiplicative analysis and non‐Newtonian calculus, we establish a new integral identity that forms the basis for deriving Milne‐type inequalities for ...
İrem Çay, Hüseyin Budak, İrem Bağlan, Alberto Fiorenza   +3 more
wiley   +1 more source

On some new integral inequalities concerning twice differentiable generalized relative semi-(m, h)-preinvex mappings [PDF]

, 2019
The authors first present some integral inequalities for Gauss-Jacobi type quadrature formula involving generalized relative semi-(m, h)-preinvex mappings.
LIKO, Rozana, KASHURI, Artion, DU, Tingsong   +2 more
core   +1 more source

On local fractional integral inequalities via generalized (h˜1,h˜2)\left({\tilde{h}}_{1},{\tilde{h}}_{2})-preinvexity involving local fractional integral operators with Mittag-Leffler kernel

Demonstratio Mathematica, 2023
Local fractional integral inequalities of Hermite-Hadamard type involving local fractional integral operators with Mittag-Leffler kernel have been previously studied for generalized convexities and preinvexities.
Vivas-Cortez Miguel, Bibi Maria, Muddassar Muhammad, Al-Sa’di Sa’ud   +3 more
doaj   +1 more source

On Hadamard and Fejér–Hadamard Inequalities for Fractional Integrals Involving Mittag‐Leffler‐Type Function of Arbitrary Order

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
This paper introduces and investigates novel fractional integral operators featuring the extended Mittag‐Leffler function in the kernel. After establishing the core properties of these operators, we derive the corresponding Hadamard and Fejér–Hadamard inequalities.
Maged Bin-Saad, Jihad Younis, Maryam Salem Alatawi, Ali N. A. Koam, Shanhe Wu   +4 more
wiley   +1 more source

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

Extensions for a refinement of the Hermite -Hadamard inequality

Annals of the West University of Timisoara: Mathematics and Computer Science
We extend a refinement of the Hermite-Hadamard inequality to other convex functions, thus some integral of these convex functions can be estimated by series. We also generalize part of this refinement by introducing one more parameter, then the Stolarsky
Miao JinYan, Dragomir Silvestru Sever
doaj   +1 more source

Fractional Integral Inequalities via Caputo k‐Derivatives for Generalized Strongly Modified h‐Convex Functions

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
This paper is devoted to the investigation of new fractional integral (FI) inequalities involving Caputo k‐fractional derivatives (CKFDs) for functions whose higher order derivatives satisfy the generalized strongly modified h‐convexity (GSMHC) condition. By combining the analytical properties of generalized convexity with the framework of k‐fractional
Mohammed Said Souid, Halim Benali, Sabri T. M. Thabet, Taoufik Moulahi, Al-Taweel Ahmed   +4 more
wiley   +1 more source

Bullen–Simpson–Mercer type inequalities

Open Mathematics
The main objective of our paper is to establish a new set of Bullen–Simpson type inequalities concerning the Jensen–Mercer's inequality. At first, we derive a new general Bullen–Simpson–Mercer's identity, with which we get out primary consequences ...
Vukelić Ana
doaj   +1 more source