RT - Journal Article
T1 - On Lah-Ribarič Inequality Involving Averages of Convex Functions
JF - IJMSI
YR - 2024
JO - IJMSI
VO - 19
IS - 2
UR - http://ijmsi.ir/article-1-1522-en.html
SP - 1
EP - 12
K1 - Lah-Ribarič inequality
K1 - Divided differences
K1 - n-convex function
K1 - (n
K1 - m)-convex function
K1 - Exponential convexity.
AB - 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.
LA eng
UL http://ijmsi.ir/article-1-1522-en.html
M3
ER -