Results 61 to 70 of about 513,843 (110)

On Quantum Hermite-Hadamard-Fejer Type Integral Inequalities via Uniformly Convex Functions

open access: yesFractal and Fractional
The main goal of this study is to provide new q-Fejer and q-Hermite-Hadamard type integral inequalities for uniformly convex functions and functions whose second quantum derivatives in absolute values are uniformly convex. Two basic inequalities as power
Hasan Barsam   +3 more
doaj   +1 more source

New Inequalities of Hermite-Hadamard Type for Functions Whose Second Derivatives Absolute Values are Quasi-Convex [PDF]

open access: yes, 2009
In this note we obtain some inequalities of Hermite-Hadamard type for functions whose second derivatives have quasi-convex absolute values.
Dragomir, Sever S   +2 more
core   +4 more sources

Some Novel Inequalities for Godunova–Levin Preinvex Functions via Interval Set Inclusion (⊆) Relation

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
In this note, we introduce the concept of ℏ‐Godunova–Levin interval‐valued preinvex functions. As a result of these novel notions, we have developed several variants of Hermite–Hadamard and Fejér‐type inequalities under inclusion order relations. Furthermore, we demonstrate through suitable substitutions that this type of convexity unifies a variety of
Zareen A. Khan   +4 more
wiley   +1 more source

Sharp Inequalities of Ostrowski Type for Convex Functions Defined on Linear Spaces and Application [PDF]

open access: yes, 2007
An Ostrowski type inequality for convex functions defined on linear spaces is generalised. Some inequalities which improve the Hermite–Hadamard type inequality for convex functions defined on linear spaces are derived using the obtained result.
Dragomir, Sever S   +2 more
core   +3 more sources

Majorization-Type Integral Inequalities Related to a Result of Bennett with Applications

open access: yesMathematics
In this paper, starting from abstract versions of a result of Bennett given by Niculescu, we derive new majorization-type integral inequalities for convex functions using finite signed measures.
László Horváth
doaj   +1 more source

Some New Variants of Hermite–Hadamard and Fejér‐Type Inequalities for Godunova–Levin Preinvex Class of Interval‐Valued Functions

open access: yesJournal of Mathematics, Volume 2024, Issue 1, 2024.
The theory of inequalities is greatly influenced by interval‐valued concepts, and this contribution is explored from several perspectives and domains. The aim of this note is to develop several mathematical inequalities such as Hermite–Hadamard, Fejér, and the product version based on center radius CR‐order relations.
Zareen A. Khan   +4 more
wiley   +1 more source

Strongly ( η , ω ) $(\eta ,\omega )$ -convex functions with nonnegative modulus

open access: yesJournal of Inequalities and Applications, 2020
We introduce a new class of functions called strongly ( η , ω ) $(\eta,\omega)$ -convex functions. This class of functions generalizes some recently introduced notions of convexity, namely, the η-convex functions and strongly η-convex functions.
Ana M. Tameru   +2 more
doaj   +1 more source

Hermite–Hadamard–Fejér type inequalities for p-convex functions

open access: yes, 2017
In this paper, firstly, Hermite–Hadamard–Fejér type inequalities for p-convex functions are built. Secondly, an integral identity and some Hermite–Hadamard–Fejér type integral inequalities for p-convex functions are obtained.
Kunt, Mehmet   +5 more
core   +1 more source

Several refinement of hermite-hadamard inequality

open access: yes, 2017
碩士本論文研究的主要目的是要對Hermite-Hadamard 不等式提供更多的答案。The major goal of this study is to give some answers to the Hermite-Hadamard Inequality.1.緒論 ...........................................頁 1 2.主要結果 .......................................頁 4 3.參考文獻 .............
温麗東;Wen, Li- Tung
core  

Strongly MφMψ -Convex Functions, The Hermite–Hadamard–Fejér Inequality and Related Results

open access: yesAnnales Mathematicae Silesianae
We present Hermite–Hadamard–Fejér type inequalities for strongly MφMψ -convex functions. Some refinements of them and bounds for the integral mean of the product of two functions are also obtained.
Bombardelli Mea, Varošanec Sanja
doaj   +1 more source

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