Results 61 to 70 of about 1,944 (219)
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In this article, new estimations of the integral form of the midpoint formula are derived for p‐convex functions via Katugampola fractional integrals. A specific identity for differentiable functions is established, which extends and strengthens the integral midpoint inequality through innovative estimations.
Muhammad Latif +5 more
wiley +1 more source
Hermite-Hadamard Type Inequalities with Applications
Fasciculi Mathematici, 2017 AbstractIn this article first, we give an integral identity and prove some Hermite-Hadamard type inequalities for the function f such that |f″|qis convex or concave for q ≥ 1. Second, by using these results, we present applications to f-divergence measures.
Khan, M. Adil +2 more
openaire +2 more sources
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 type from 'Two mappings in connection to Hadamard’s inequalities' (Dragomir, 1992) and 'On some refinements of
Hwang, Shiow-Ru +2 more
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Journal of Function Spaces, Volume 2026, Issue 1, 2026.This paper is devoted to the investigation of new fractional integral (FI) inequalities involving Caputo k‐fractional derivatives (CKFDs) for functions whose higher order derivatives satisfy the generalized strongly modified h‐convexity (GSMHC) condition. By combining the analytical properties of generalized convexity with the framework of k‐fractional
Mohammed Said Souid +4 more
wiley +1 more source
Comparisons of Two Integral Inequalities with Hermite-Hadamard-Jensen's Integral Inequality [PDF]
, 2005 Certain comparisons of Iyengar-Mahajani’s and Kesava Menon’s integral inequalities with Hermite-Hadamard-Jensen’s integral inequalities are considered and some mistakes in the paper [On certain inequalities by Iyengar and Kesava Menon, Octogon Math ...
Qi, Feng, Yang, Meng-Long
core
IMPROVEMENT OF FRACTIONAL HERMITE-HADAMARD TYPE INEQUALITY FOR CONVEX FUNCTIONS [PDF]
, 2018 iscan, imdat/0000-0001-6749-0591; Kunt, Mehmet/0000-0002-8730-5370WOS: 000458493700023In this paper, it is proved that fractional Hermite-Hadamard inequality and fractional Hermite-Hadamard-Fejer inequality are just results of Hermite-Hadamard-Fejer ...
Turhan, Sercan +3 more
core +1 more source
Jensen–Mercer inequality for GA-convex functions and some related inequalities
Journal of Inequalities and Applications, 2020 In this paper, firstly, we prove a Jensen–Mercer inequality for GA-convex functions. After that, we establish weighted Hermite–Hadamard’s inequalities for GA-convex functions using the new Jensen–Mercer inequality, and we establish some new inequalities ...
İmdat İşcan
doaj +1 more source
Journal of Function Spaces, Volume 2026, Issue 1, 2026.This paper is aimed at extending classical midpoint and trapezoid inequalities by incorporating a weight function, which serves as a versatile tool to bridge these inequalities with their fractional integral analogues. By appropriate choice of weight functions, we establish generalized fractional versions of the inequalities for various types of ...
Hüseyin Budak +3 more
wiley +1 more source
New inequalities of Hermite-Hadamard type for functions whose second derivatives absolute values are quasi-convex [PDF]
, 2009 In this note we obtain some inequalities of Hermite-Hadamard type for functions whose second derivatives absolute values are quasi-convex.
Dragomir, Sever S +2 more
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A Note on the New Ostrowski and Hadamard Type Inequalities via the Hölder–İşcan Inequality
Axioms, 2023 For all convex functions, the Hermite–Hadamard inequality is already well known in convex analysis. In this regard, Hermite–Hadamard and Ostrowski type inequalities were obtained using exponential type convex functions in this work.
Çetin Yildiz +2 more
doaj +1 more source