On quantum Hermite-Hadamard inequalities for differentiable convex functions
Filomat, Tome 36 (2022) no. 5, p. 1477
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In this paper, we establish some new quantum Hermite-Hadamard type inequalities for differentiable convex functions by using the q κ 2-quantum integral. The results presented in this paper extend the results of Bermudo et al. (On q-Hermite-Hadamard inequalities for general convex functions, Acta Mathematica Hungarica, 2020, 162, 363-374). Finally, we give some examples to show validation of new results of this paper.
Classification :
26D07, 26D10, 26D15, 26A33
Keywords: Fejér type inclusions, convex function, interval-valued functions
Keywords: Fejér type inclusions, convex function, interval-valued functions
Hasan Kara; Muhammad Aamir Ali; Hüseyin Budak. On quantum Hermite-Hadamard inequalities for differentiable convex functions. Filomat, Tome 36 (2022) no. 5, p. 1477 . doi: 10.2298/FIL2205477K
@article{10_2298_FIL2205477K,
author = {Hasan Kara and Muhammad Aamir Ali and H\"useyin Budak},
title = {On quantum {Hermite-Hadamard} inequalities for differentiable convex functions},
journal = {Filomat},
pages = {1477 },
year = {2022},
volume = {36},
number = {5},
doi = {10.2298/FIL2205477K},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2205477K/}
}
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