Results 11 to 20 of about 282 (135)
Journal of Mathematics, 2023 In the 17th century, I. Newton and G. Leibniz found independently each other the basic operations of calculus, i.e., differentiation and integration. And this development broke new ground in mathematics.
Erdal Ünlüyol, Yeter Erdaş
doaj +2 more sources
Advancements in Harmonic Convexity and Its Role in Modern Mathematical Analysis
Journal of MathematicsConvex functions play an integral part in artificial intelligence by providing mathematical guarantees that make optimization more efficient and reliable.
Sabila Ali +3 more
doaj +2 more sources
Journal of Function SpacesThe connection between generalized convexity and analytic operators is deeply rooted in functional analysis and operator theory. To put the ideas of preinvexity and convexity even closer together, we might state that preinvex functions are extensions of ...
Zareen A. Khan, Waqar Afzal
doaj +2 more sources
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 In this article, we introduce a general class of convex functions and proved some of its basic properties. We establish Hermite‐Hadamard type inequalities as well as fractional version of Hermite‐Hadamard type inequalities by using Riemann‐Liouville integral operator. At the end, some application to special means of real numbers are also given.
Xiaogang Liu +4 more
wiley +1 more source
Some Hadamard–Fejér Type Inequalities for LR-Convex Interval-Valued Functions
Fractal and Fractional, 2021 The purpose of this study is to introduce the new class of Hermite–Hadamard inequality for LR-convex interval-valued functions known as LR-interval Hermite–Hadamard inequality, by means of pseudo-order relation ( ≤p ).
Muhammad Bilal Khan +4 more
doaj +1 more source
Some Interesting Inequalities for the Class of Generalized Convex Functions of Higher Order
Journal of Function Spaces, Volume 2023, Issue 1, 2023., 2023 In this paper, we study a generalized version of strongly reciprocally convex functions of higher order. Firstly, we prove some basic properties for addition, scalar multiplication, and composition of functions. Secondly, we establish Hermite‐Hadamard and Fejér type inequalities for the generalized version of strongly reciprocally convex functions of ...
Limei Liu +5 more
wiley +1 more source
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 This paper aims to present a generalized and extended notation of convexity by unifying reciprocally strong convexity with (h, s)−convexity. We introduce the concept of reciprocally strongly (h, s)−convex functions and establish some of their fundamental properties. In addition, we establish various inequalities, including Jensen, Hermite–Hadamard, and
Yujun Wang +4 more
wiley +1 more source
International Journal of Computational Intelligence Systems, 2021 It is well known that the concept of convexity establishes strong relationship with integral inequality for single-valued and interval-valued function.
Gul Sana +4 more
doaj +1 more source
Some New Hermite–Hadamard Type Inequalities Pertaining to Generalized Multiplicative Fractional Integrals [PDF]
, 2023 There is significant interaction between the class of symmetric functions and other types of functions. The multiplicative convex function class, which is intimately related to the idea of symmetry, is one of them.
Aljuaid, Munirah +4 more
core +1 more source
New Fractional Inequalities through Convex Functions and Comprehensive Riemann–Liouville Integrals
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 In most fields of applied sciences, inequalities are important in constructing mathematical systems and associated solution functions. Convexity also has a significant impact on an assortment of mathematical topics. By utilizing a comprehensive version of Riemann–Liouville integrals and the functions’ convexity condition, we present and prove novel ...
Abd-Allah Hyder, Çetin Yildiz
wiley +1 more source