TY - JOUR
T1 - On Lah-Ribarič Inequality Involving Averages of Convex Functions
TT -
JF - IJMSI
JO - IJMSI
VL - 19
IS - 2
UR - http://ijmsi.ir/article-1-1522-en.html
Y1 - 2024
SP - 1
EP - 12
KW - Lah-Ribarič inequality
KW - Divided differences
KW - n-convex function
KW - (n
KW - m)-convex function
KW - Exponential convexity.
N2 - By using the integral arithmetic mean and the Lah-Ribarič inequality we give the extension of Wulbert’s result from [15]. Also, we obtain inequalities with divided differences using the Lah-Ribarič inequality. As a consequence, the convexity of higher order for function defined by divided difference is proved. Further, we construct a new family of exponentially convex functions and Cauchy-type means by exploring at linear functionals with the obtained inequalities.
M3
ER -