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Article 2025 · 3 citations

Novel Hermite-Hadamard type integral inequalities for twice differentiable functions by weighted integrals

Valdes, Juan E. Napoles, Yildiz, Cetin

Abstract

For convex, s-convex and h-convex functions, the Hermite-Hadamard inequality is already well known in the theory of inequalities. In this regard, this work presents new inequalities associated with the weighted integrals for (h, m)-convex modified functions by utilizing a different technique. These novel inequalities are also obtained by means of Power-mean, Young, and Holder inequalities.

Keywords
Integral inequalities weighted integral operators generalized calculus (ALPHA
WoS Categories
Mathematics, Applied Mathematics
Citation
Journal
FILOMAT
Year
2025
Volume
39
Issue
3
Pages
1019-1032
ISSN
0354-5180
DOI
10.2298/FIL2503019N
WoS UID
WOS:001470436100023
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