ON THE REPRESENTATION OF $\langle\rho_j,\ W_j\rangle$  ABSOLUTE MONOTONE FUNCTIONS

B.A. Sahakyan

doi:10.46991/PSYU:A/2014.48.1.026

ON THE REPRESENTATION OF $\langle\rho_j,\ W_j\rangle$ ABSOLUTE MONOTONE FUNCTIONS

Authors

B.A. Sahakyan Chair of General Mathematics, YSU, Armenia

DOI:

https://doi.org/10.46991/PSYU:A/2014.48.1.026

Keywords:

Riemann–Liouville type operators, $\langle\rho_j,\ W_j\rangle$ absolutely monotone functions

Abstract

In the paper [1] the notion of the $\langle\rho_j,\ W_j\rangle$ absolutely monotone function was introduced. In the present paper we give some examples of sequences $\{W_j(x)\}_0^{\infty},$ consider the corresponding classes of $\langle\rho_j,\ W_j\rangle$ absolute monotone functions and study the problems of thei representation.

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Published

2014-04-10

How to Cite

Sahakyan, B. (2014). ON THE REPRESENTATION OF $\langle\rho_j,\ W_j\rangle$ ABSOLUTE MONOTONE FUNCTIONS. Proceedings of the YSU A: Physical and Mathematical Sciences, 48(1 (233), 26–34. https://doi.org/10.46991/PSYU:A/2014.48.1.026