Sharp bounds for Sándor-Yang means in terms of quadratic mean
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Inequalities"
DOI: 10.7153/jmi-2018-12-87
Abstract: In the article, we find the best possible parameters α , β , λ , μ ∈ (1/2,1) such that the double inequalities Q[αa+(1−α)b,αb+(1−α)a] < RQA(a,b) < Q[βa+(1−β)b,βb+(1−β)a], Q[λa+(1−λ)b,λb+(1−λ)a] < RAQ(a,b) < Q[μa+(1−μ)b,μb+(1−μ)a] hold for… read more here.
Keywords: sharp bounds; quadratic mean; yang means; means terms ... See more keywords
Optimal bounds for the Sándor mean in terms of the combination of geometric and arithmetic means
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Inequalities"
DOI: 10.7153/jmi-2021-15-48
Abstract: In this paper, we prove that λ = 1/2− √ 1− e−2/p/2 and μ = 1/2−√6p/(6p) are the best possible parameters on the interval (0,1/2) such that the double inequalities G [λa+(1−λ)b,λb+(1−λ )a]A1−p (a,b) <… read more here.
Keywords: terms combination; combination geometric; bounds ndor; optimal bounds ... See more keywords