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SOME REMARKS ON FUNCTIONS WITH NON-DECREASING INCREMENTS.
- Source :
-
Journal of Mathematical Analysis . 2020, Vol. 11 Issue 1, p1-16. 16p. - Publication Year :
- 2020
-
Abstract
- The main purpose of this work is to establish relationship of functions with non-decreasing increments with other functions of high importance. Especially, we pay attention to the role of representation and connection among functions with non-decreasing increments and arithmetic integral mean, Wright convex functions, convex functions, ∇−convex functions, Jensen m−connvex functions, m−convex functions, m−∇−convex functions, k−monotonic functions, absolutely monotonic functions, completely monotonic functions, Laplace Transform and exponentially convex functions, by using the method of finite difference operator as different cases of ∆m h f(y). We also consider function with non-decreasing increments of order three and obtain the generalisation of the Levinson’s-type inequality and Jensen-Mercer’s-type inequality by using Jensen-Boas inequality and also deduce some results. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 21173419
- Volume :
- 11
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 141087851