Results 11 to 20 of about 498,881 (101)
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
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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
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On Some New Inequalities of Hermite-Hadamard-Féjer Type Involving Convex Functions [PDF]
, 2005 In this paper, we establish some inequalities of Hermite-Hadamard- Fejér type for m-convex functions and s-convex ...
Hwang, Shiow-Ru +2 more
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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
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Refinements of the Hermite-Hadamard Integral Inequality for Log-Convex Functions [PDF]
, 2000 Two refinements of the classical Hermite-Hadamard integral inequality for log-convex functions and applications for special means are ...
Dragomir, Sever S
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Hermite-Hadamard-type Inequalities for Increasing Convex-along-rays Functions [PDF]
, 2001 Some inequalities of Hermite-Hadamard type for increasing convexalong-rays functions are given. Examples for particular domains including triangles, squares, and the part of the unit disk in the first quadrant are also ...
Dragomir, Sever S +2 more
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Generalizations of the Hermite-Hadamard Type Inequalities for Functions whose Derivatives are s-Convex [PDF]
, 2009 Some new results related to the right-hand side of the Hermite- Hadamard type inequality for the class of functions whose derivatives at certain powers are s-convex functions in the second sense are ...
Kirmaci, US +3 more
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Mathematics, 2022 In this work, we introduce new definitions of left and right-sides generalized conformable K-fractional derivatives and integrals. We also prove new identities associated with the left and right-sides of the Hermite-Hadamard-Fejér type inequality for ϕ ...
Humaira Kalsoom, Zareen A. Khan
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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
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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
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