Results 11 to 20 of about 1,588,214 (308)

On positive sequences of reals whose block sequence has an asymptotic distribution function [PDF]

Notes on Number Theory and Discrete Mathematics
In this paper we study the properties of the unbounded sequence 0≤y₁≤y₂≤y₃≤... of positive reals having asymptotic distribution function of the form x^λ.
József Bukor, Ferdinánd Filip, János T. Tóth   +2 more
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Optimal Inequalities for Power Means [PDF]

Journal of Applied Mathematics, 2012
We present the best possible power mean bounds for the product for any p > 0, α ∈ (0,1), and all a, b > 0 with a ≠ b. Here, Mp(a, b) is the pth power mean of two positive numbers a and b.
Li, Yong-Min, Long, Bo-Yong, Chu, Yu-Ming, Gong, Wei-Ming   +3 more
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Properties of distance spaces with power triangle inequalities

Karpatsʹkì Matematičnì Publìkacìï, 2016
Metric spaces provide a framework for analysis and have several very useful properties. Many of these properties follow in part from the  triangle inequality.
D. Greenhoe
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Optimal power mean bounds for the second Yang mean

Journal of Inequalities and Applications, 2016
In this paper, we present the best possible parameters p and q such that the double inequality M p ( a , b ) < V ( a , b ) < M q ( a , b ) $$ M_{p}(a,b)< V(a,b)< M_{q}(a,b) $$ holds for all a , b > 0 $a, b>0$ with a ≠ b $a\neq b$ , where M r ( a , b ) = [
Jun-Feng Li, Zhen-Hang Yang, Yu-Ming Chu
doaj   +1 more source

Sharp Power Mean Bounds for Two Seiffert-like Means

Axioms, 2023
The mean is a subject of extensive study among scholars, and the pursuit of optimal power mean bounds is a highly active field. This article begins with a concise overview of recent advancements in this area, focusing specifically on Seiffert-like means.
Zhenhang Yang, Jing Zhang
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Generalized polynomial exponential sums and their fourth power mean

Electronic Research Archive, 2023
The study of the power mean of the generalized polynomial exponential sums plays a very important role in analytic number theory, and many classical number theory problems are closely related to it.
Li Wang, Yuanyuan Meng
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Optimal power mean bounds for Yang mean [PDF]

Journal of Inequalities and Applications, 2014
Abstract In this paper, we prove that the double inequality M p ( a , b ) < U ( a ,
Yang, Zhen-Hang, Wu, Li-Min, Chu, Yu-Ming   +2 more
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Mixture and interpolation of the parameterized ordered means

Journal of Inequalities and Applications, 2022
Loewner partial order plays a very important role in metric topology and operator inequality on the open convex cone of positive invertible operators.
Sejong Kim
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One kind power mean of the hybrid Gauss sums

Open Mathematics, 2018
In this paper, we use the analysis method and the properties of trigonometric sums to study the computational problem of one kind power mean of the hybrid Gauss sums. After establishing some relevant lemmas, we give an exact computational formula for it.
Lan Qi, Wenpeng Zhang
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Optimal Power Mean Bounds for the Weighted Geometric Mean of Classical Means

Journal of Inequalities and Applications, 2010
For , the power mean of order of two positive numbers and is defined by , for , and , for . In this paper, we answer the question: what are the greatest value and the least value such that the double inequality holds for all and ...
Chu Yu-Ming, Long Bo-Yong
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