On the generalized inequalities of the Hermite – Hadamard type
Filomat, Tome 35 (2021) no. 14, p. 4917
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In this paper, we establish new Hermite–Hadamard inequalities for h–convex functions, with in the framework of a previously defined generalized integral. The results obtained, generalize or complete, several reported in the literature. Some final remarks show the strength and scope of our results
Classification :
26A33, 31A10, 26D07, 26D15
Keywords: Generalized integral operator, Hermite–Hadamard inequality, Hölder inequality, power mean inequality, h−convex function
Keywords: Generalized integral operator, Hermite–Hadamard inequality, Hölder inequality, power mean inequality, h−convex function
Juan E Nápoles Valdés; Bahtiyar Bayraktar. On the generalized inequalities of the Hermite – Hadamard type. Filomat, Tome 35 (2021) no. 14, p. 4917 . doi: 10.2298/FIL2114917N
@article{10_2298_FIL2114917N,
author = {Juan E N\'apoles Vald\'es and Bahtiyar Bayraktar},
title = {On the generalized inequalities of the {Hermite} {\textendash} {Hadamard} type},
journal = {Filomat},
pages = {4917 },
year = {2021},
volume = {35},
number = {14},
doi = {10.2298/FIL2114917N},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2114917N/}
}
TY - JOUR AU - Juan E Nápoles Valdés AU - Bahtiyar Bayraktar TI - On the generalized inequalities of the Hermite – Hadamard type JO - Filomat PY - 2021 SP - 4917 VL - 35 IS - 14 UR - http://geodesic.mathdoc.fr/articles/10.2298/FIL2114917N/ DO - 10.2298/FIL2114917N LA - en ID - 10_2298_FIL2114917N ER -
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