Results 61 to 70 of about 498,881 (101)

New Hermite–Hadamard Inequalities for Convex Fuzzy-Number-Valued Mappings via Fuzzy Riemann Integrals

Mathematics, 2022
This study uses fuzzy order relations to examine Hermite–Hadamard inequalities (𝐻𝐻-inequalities) for convex fuzzy-number-valued mappings (FNVMs). The Kulisch–Miranker order relation, which is based on interval space, is used to define this fuzzy order ...
Muhammad Bilal Khan, Gustavo Santos-García, Muhammad Aslam Noor, Mohamed S. Soliman   +3 more
doaj   +1 more source

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

Journal 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, Waqar Afzal, Mujahid Abbas, Kwara Nantomah, Ding-Xuan Zhou   +4 more
wiley   +1 more source

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

Fractal 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, Somayeh Mirzadeh, Yamin Sayyari, Loredana Ciurdariu   +3 more
doaj   +1 more source

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

Journal 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, Waqar Afzal, Waqas Nazeer, Joshua Kiddy K. Asamoah, B. B. Upadhyay   +4 more
wiley   +1 more source

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

Mathematics
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 Companions of Fejér's Inequality for Convex Functions [PDF]

, 2009
In this paper, we establish some companions of Fejér’s inequality for convex functions which generalize the inequalities of Hermite-Hadamard\ud type from 'Two mappings in connection to Hadamard’s inequalities' (Dragomir, 1992) and 'On some refinements ...
Hwang, Shiow-Ru, Tseng, Kuei-Lin, Dragomir, Sever S   +2 more
core   +3 more sources

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

Journal 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, Eze R. Nwaeze, Seth Kermausuor   +2 more
doaj   +1 more source

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

Annales 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

On Hermite-Hadamard-Fejér type inequalities for convex functions via fractional integrals [PDF]

Mathematica Moravica, 2017
In this paper, we have established some generalized integral inequalities of Hermite-Hadamard-Fejér type for generalized fractional integrals. The results presented here would provide generalizations of those given in earlier works.
Akkurt Abdullah, Yıldırım Hüseyın
doaj  

Investigations into Hermite-Hadamard-Fejér Inequalities within the Realm of Trigonometric Convexity

Communications in Advanced Mathematical Sciences
This study is predicated on the exploration of lemmas pertaining to the Hermite-Hadamard-Fejér type integral inequality, focusing on both trapezoidal and midpoint inequalities.
Ercihan Güngör, Sercan Turhan, İmdat İşcan   +2 more
doaj   +1 more source