On some invariance of the quotient mean with respect to Makó–Páles means
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DOI: 10.1007/s00010-017-0502-y
Abstract: Given a continuous strictly monotone function $$\varphi $$φ defined on an open real interval I and a probability measure $$\mu $$μ on the Borel subsets of [0, 1], the Makó–Páles mean is defined by $$\begin{aligned} {\mathcal… read more here.
Keywords: quotient mean; varphi psi; mak les; invariance quotient ... See more keywords
Generalization of the Quotient Mean Series
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DOI: 10.1007/s00025-019-1008-9
Abstract: In this paper a new family of generalized Mathieu series, called Quotient mean Matheu series is introduced. Namely, some generalized Mathieu series, like Mathieu $$(a,\lambda )$$(a,λ)-series, Mathieu a-series and their alternating variants are represented in… read more here.
Keywords: quotient mean; generalization quotient; mean series; mathieu series ... See more keywords