The estimation of the operational functions of the type exp[(Σ_{ν=1}^nβ_νs^{p_ν})λ]

Marek Piętka

Published: 1990-09-28

Vol. 4 (1990)

The estimation of the operational functions of the type exp[(Σ_{ν=1}^nβ_νs^{p_ν})λ]

Marek Piętka

Abstract

J. Mikusiński presented in the paper [2] the estimation of the operational function e^{-s^αλ}, α∈(0,1), in some unbounded set of ℝ⁺×ℝ⁺. The results obtained by J. Mikusiński were generalized in the paper [3]. The similar estimation of the function
exp[(Σ_ν=1ⁿβ_νs^p_ν)λ]
is made in the above paper, where β_ν∈ℝ and p_ν∈(0.1), ν = 1,...,n.
This paper is devoted to the investigation of the behaviour more general operational functions, when the coefficients β_ν are in ℂ and fulfilling some relations concerning their real and imaginary parts.

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Piętka, M. (1990). The estimation of the operational functions of the type exp[(Σ_{ν=1}^nβ_νs^{p_ν})λ]. Annales Mathematicae Silesianae, 4, 25–34. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/14290

Vol. 4 (1990)
Published: 1990-09-28

ISSN: 0860-2107

eISSN: 2391-4238

10.1515/amsil

Publisher

University of Silesia Press

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