Results 11 to 20 of about 513,843 (110)
Uniform Treatment of Integral Majorization Inequalities with Applications to Hermite-Hadamard-Fejér-Type Inequalities and f-Divergences. [PDF]
Entropy (Basel), 2023 In this paper, we present a general framework that provides a comprehensive and uniform treatment of integral majorization inequalities for convex functions and finite signed measures.
Horváth L.
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Hermite-Hadamard-Fejér Inequality Related to Generalized Convex Functions via Fractional Integrals
Journal of Mathematics, 2018 This paper deals with Hermite-Hadamard-Fejér inequality for (η1,η2)-convex functions via fractional integrals. Some mid-point and trapezoid type inequalities related to Hermite-Hadamard inequality when the absolute value of derivative of considered ...
M. Rostamian Delavar +2 more
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Fractal and Fractional, 2021 In this paper, we establish a new version of Hermite-Hadamard-Fejér type inequality for harmonically convex functions in the form of weighted fractional integral. Secondly, an integral identity and some weighted midpoint fractional Hermite-Hadamard-Fejér
Humaira Kalsoom +3 more
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Hermite-Hadamard-Fejér Inequalities for Conformable Fractional Integrals via Preinvex Functions
Journal of Function Spaces, 2019 In this paper, we present a Hermite-Hadamard-Fejér inequality for conformable fractional integrals by using symmetric preinvex functions. We also establish an identity associated with the right hand side of Hermite-Hadamard inequality for preinvex ...
Yousaf Khurshid +3 more
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Fejér and Hermite-Hadamard Type Inequalities for Harmonically Convex Functions [PDF]
Journal of Applied Mathematics, 2014 We establish a Fejér type inequality for harmonically convex functions. Our results are the generalizations of some known results. Moreover, some properties of the mappings in connection with Hermite-Hadamard and Fejér type inequalities for harmonically ...
Feixiang Chen, Shanhe Wu
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On some inequality of Hermite-Hadamard type [PDF]
Opuscula Mathematica, 2012 It is well-known that the left term of the classical Hermite-Hadamard inequality is closer to the integral mean value than the right one. We show that in the multivariate case it is not true.
Szymon Wąsowicz, Alfred Witkowski
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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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Some generalized Hermite–Hadamard–Fejér inequality for convex functions [PDF]
Advances in Difference Equations, 2021 In this paper, we have established some generalized inequalities of Hermite–Hadamard–Fejér type for generalized integrals. The results obtained are applied for fractional integrals of various type and therefore contain some previous results reported in ...
Miguel Vivas-Cortez +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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