TY - JOUR
ID - 671813
TI - (m1,m2)-Convexity and Some New Hermite-Hadamard Type Inequalities
JO - International Journal of Mathematical Modelling & Computations
JA - IJM2C
LA - en
SN - 2228-6225
AU - Kadakal, Huriye
AD - Ministry of Education, Hamdi Bozbag Anatolian High School, Giresun, Turkey
Y1 - 2019
PY - 2019
VL - 9
IS - 4 (Fall)
SP - 297
EP - 309
KW - (m1,m2)-Convex function
KW - Hölder and Hölder-İşcan integral inequalities
KW - power-mean and improwed power-mean integral inequalities
KW - Hermite-Hadamard inequality
DO -
N2 - In this manuscript, a new class of extended (m1,m2)-convex and concave functions is introduced. After some properties of (m1,m2)-convex functions have been given, the inequalities obtained with Hölder and Hölder-İşcan and power-mean and improwed power-mean integral inequalities have been compared and it has been shown that the inequality with Hölder-İşcan inequality gives a better approach than with Hölder integral inequality and improwed power-mean inequality gives a better approach than with power-mean inequality.
UR - http://ijm2c.iauctb.ac.ir/article_671813.html
L1 - http://ijm2c.iauctb.ac.ir/article_671813_2d060fd248c741ff154200304c87f715.pdf
ER -