Open AccessOn midpoint and trapezoid type inequalities for multiplicative integrals
Author(s) -
Sundas Khan,
Hüseyın Budak
Publication year - 2022
Publication title -
mathematica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.294
H-Index - 6
eISSN - 2601-744X
pISSN - 1222-9016
DOI - 10.24193/mathcluj.2022.1.11
Subject(s) - midpoint , mathematics , multiplicative function , differentiable function , convex function , hadamard transform , hermite polynomials , inequality , young's inequality , pure mathematics , regular polygon , type (biology) , mathematical analysis , rearrangement inequality , log sum inequality , geometry , biology , ecology
We establish some Hermite-Hadamard type inequalities for multiplicative convex functions. First, we obtain two equality for $^{\ast }$ differentiable functions. Then using these inequalities and multiplicative convex functions, we establish some inequalities related to the right and left hand side of Hermite-Hadamard inequality for multiplicative integrals.