On extensions of Hermite–Hadamard type inclusions for interval-valued convex functions
Filomat, Tome 37 (2023) no. 18, p. 5873
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In this work, by using weighted Jensen inclusion, we establish some new weighted Hermite– Hadamard type inclusions involving two real parameters for interval-valued convex functions. In addition, some extensions of Hermite–Hadamard inclusion are obtained by special choices of parameters. Moreover, we give some examples to illustrate the main results of this work.
Classification :
26D07, 26D10, 26D15
Keywords: Hermite–Hadamard inequality, Jensen inequality, interval-valued functions
Keywords: Hermite–Hadamard inequality, Jensen inequality, interval-valued functions
Hasan Kara; Hüseyin Budak; Fatih Hezenci. On extensions of Hermite–Hadamard type inclusions for interval-valued convex functions. Filomat, Tome 37 (2023) no. 18, p. 5873 . doi: 10.2298/FIL2318873K
@article{10_2298_FIL2318873K,
author = {Hasan Kara and H\"useyin Budak and Fatih Hezenci},
title = {On extensions of {Hermite{\textendash}Hadamard} type inclusions for interval-valued convex functions},
journal = {Filomat},
pages = {5873 },
year = {2023},
volume = {37},
number = {18},
doi = {10.2298/FIL2318873K},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2318873K/}
}
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