|
|
|
|
positivity of integrals for higher order ∇-convex andcompletely monotonic functions
|
|
|
|
|
|
|
|
نویسنده
|
mehmood faraz ,khan asif reza ,adnan muhammad
|
|
منبع
|
sahand communications in mathematical analysis - 2022 - دوره : 19 - شماره : 1 - صفحه:119 -137
|
|
چکیده
|
We extend the definitions of ∇−convex and completely monotonic functions for two variables. some general identities of popoviciu type integrals ∫ p(y)f(y)dy and ∫ ∫ p(y, z)f(y, z)dydz are deduced. using obtained identities, positivity of these expressions are characterized for higher order ∇−convex and completely monotonic functions. some applications in terms of generalized cauchy means and exponential convexity are given.
|
|
کلیدواژه
|
convex functions ,∇−convex functions ,completely monotonic functions
|
|
آدرس
|
dawood university of engineering and technology, department of mathematics, pakistan, university of karachi, department of mathematics, pakistan, university of karachi, department of mathematics, pakistan
|
|
پست الکترونیکی
|
adnanalfa84@yahoo.com
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Authors
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|