Wyniki wyszukiwania - BazTech

Ograniczanie wyników

3 Journal of Applied Analysis

Powiadomienia systemowe

Sesja wygasła!

Znaleziono wyników: 3

Liczba wyników na stronie

Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Optimal bounds for logarithmic and identric means in terms of generalized centroidal mean

Zhang T, Xia W, Chu Y, Wang G

Journal of Applied Analysis

2013

Vol. 19, nr 1

141--152

Best possible upper and lower bounds are given for the logarithmic and identric mean values in terms of the generalized centroidal mean.

An optimal double inequality between logarithmic and generalized logarithmic means

Jiang Y., Long B., Chu Y.

Journal of Applied Analysis

2013

Vol. 19, nr 2

271--182

In this paper, we answer the question: for any q > 0 with q ≠ 1, what are the greatest value p1= p1(q) and the least value p2= p2(q) such that the double inequality Lp1(a, b) < [L(aq, bq)]1/q < Lp2(a, b) holds for all a, b > 0 with a ≠ b? Here L(a, b) and Lp(a, b) are the logarithmic and pth generalized logarithmic means of a and b, respectively.

Optimal one-parameter mean bounds for the convex combination of arithmetic and geometric means

Xia W., Hou S., Wang G., Chu Y.

Journal of Applied Analysis

2012

Vol. 18, nr 2

197-207

In this paper, we answer the question: What are the greatest value p = p(α) and least value q = q(α)such that the double inequality Jp(a,b) < αA(a,b) + (1 - α)G(a,b) < Jq(a,b) holds for any α ∈ (0,1) and all a,b > 0 with a ≠ b? Here, A(a,b) = (a+b):2, G(a,b) = √ab and Jp (a,b) denote the arithmetic, geometric and p-th one-parameter means of a and b, respectively.