Results 41 to 50 of about 46,401 (165)

Hermite-Hadamard type inequalities for operator (p,h)-convex functions [PDF]

Journal of Mathematical Inequalities, 2020
Summary: Motivated by the recent work on convex functions and operator convex functions, we investigate the Hermite-Hadamard inequalities for operator \((p,h)\)-convex functions. We also present the estimates of both sides of the Hermite-Hadamard type inequality for operator \((p,h)\)-convex functions, where \(h\) is a non-negative function with \(h(t)
Hao, Zhiwei, Li, Libo
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Hermite-Hadamard inequalities for exponential type harmonically $ ( \alpha, s)_{h}$-convex functions [PDF]

Journal of Mahani Mathematical Research
In this paper, the authors study and introduce some new integral forms of Hermite-Hadamard inequalities in the form of harmonically convex functions known as exponential type harmonically $ (\alpha, s)_{h}$-convex function.
Kemi Apanpa, Adesanmi Mogbademu, Johnson Olalerun   +2 more
doaj   +1 more source

A Comprehensive Review of the Hermite–Hadamard Inequality Pertaining to Quantum Calculus

Foundations, 2023
A review of results on Hermite–Hadamard (H-H) type inequalities in quantum calculus, associated with a variety of classes of convexities, is presented. In the various classes of convexities this includes classical convex functions, quasi-convex functions,
Muhammad Tariq, Sotiris K. Ntouyas, Asif Ali Shaikh   +2 more
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Generalized Convex Function and Associated Petrovic’s Inequality

International Journal of Analysis and Applications, 2019
In this paper, Petrovi´c’s inequality is generalized for h−convex functions, when h is supermultiplicative function. It is noted that the case for h−convex functions does not lead the particular cases for P −function, Godunova-Levin functions, s−Godunova-
A. Ur. Rehman, G. Farid, Vishnu Narayan Mishra   +2 more
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Operator upper bounds for Davis-Choi-Jensen's difference in Hilbert spaces [PDF]

Mathematica Moravica
In this paper we obtain several operator inequalities providing upper bounds for the Davis-Choi-Jensen's Difference Ph (f (A)) - f (Ph (A)) for any convex function f : I → R, any selfadjoint operator A in H with the spectrum Sp (A) ⊂ I and any linear ...
Dragomir Silvestru Sever
doaj   +1 more source

Subharmonic envelopes for functions on domains

Вестник Самарского университета: Естественнонаучная серия, 2023
One of the most common problems in various fields of real and complex analysis is the questions of the existence and construction for a given function of an envelope from below or from above of a function from a special class H. We consider a case when H
Bulat N. Khabibullin
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Generalized Fractal Jensen–Mercer and Hermite–Mercer type inequalities via h-convex functions involving Mittag–Leffler kernel

Alexandria Engineering Journal, 2022
In this paper, we present generalized Jensen-Mercer inequality for a generalized h-convex function on fractal sets. We proved Hermite-Hadamard-Mercer local fractional integral inequalities via integral operators pertaining Mittag-Leffler kernel. Also, we
Peng Xu, Saad Ihsan Butt, Saba Yousaf, Adnan Aslam, Tariq Javed Zia   +4 more
doaj   +1 more source

On approximately harmonic h-convex functions depending on a given function

Filomat, 2019
A new class of harmonic convex function depending on given functions which is called as ?approximately harmonic h-convex functions? is introduced. With the discussion of special cases it is shown that this class unifies other classes of approximately harmonic h-convex function. Some associated integral inequalities with these new classes of
Awan, Muhammad Uzair, Noor, Muhammad Aslam, Mihai, Marcela V., Noor, Khalida Inayat, Akhtar, Nousheen   +4 more
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On new general integral inequalities for h-convex functions

New Trends in Mathematical Science, 2016
In this paper, we derive new estimates for the remainder termof the midpoint, trapezoid, and Simpson formulae for functions whosederivatives in absolute value at certain power are -convex and -concave by using power meaninequality, Hölder inequality and some other integral inequalities. Someapplications to special means of real numbers are also given.
ISCAN, İmdat, AYDİN, Mustafa
openaire   +2 more sources

Operator inequalities for h-convex functions with applications

Journal of Mathematical Inequalities
Summary: In this paper, we generalize the operator version of Jensen's inequality and the converse one for the class of \(h\)-convex functions. We extend the Hermite-Hadamard's type inequality and a multiple operator version of Jensen's inequality for this class of functions. We also provide a refinement of Jensen's inequality for convex functions.
Nikoufar, Ismail, Saeedi, Davuod
openaire   +2 more sources