Elementary function representations for the moments of the Meyer-K\"onig and Zeller operators
Ulrich Abel
TL;DR
This paper derives explicit formulas for the moments of Meyer-König and Zeller operators using elementary functions and polylogarithms, facilitating their analysis and application.
Contribution
It provides new explicit representations of the moments of these operators, which were not previously expressed in such elementary terms.
Findings
Explicit formulas for moments in elementary functions
Use of polylogarithms in representing moments
Enhanced understanding of operator properties
Abstract
We calculate the moments of the Meyer-K\"onig and Zeller operators in terms of elementary functions and polylogarithms.
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Taxonomy
TopicsApproximation Theory and Sequence Spaces · Mathematical functions and polynomials · Advanced Mathematical Identities