[Retracted] Partial sums of functions of bounded turning
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 1, Page 45-47, 2004., 2004 We determine conditions under which the partial sums of the Libera integral operator of functions of bounded turning are also of bounded turning.
Jay M. Jahangiri, K. Farahmand
wiley +1 more source
A curious property of series involving terms of generalized sequences
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 1, Page 55-63, 2000., 2000 Here we are concerned with series involving generalized Fibonacci numbers Un (p, q) and generalized Lucas numbers Vn (p, q). The aim of this paper is to find triples (p, q, r) for which the series Un (p, q)/rn and Vn (p, q)/rn (for r running from 0 to infinity) are unconcerned at the introduction of the factor n.
Odoardo Brugia, Piero Filipponi
wiley +1 more source
On some new N‐independent‐variable discrete inequalities of the Gronwall type
International Journal of Mathematics and Mathematical Sciences, Volume 9, Issue 3, Page 485-495, 1986., 1986 In this paper we shall establish some new discrete inequalities of the Gronwall type in N‐independent variables. They will have many applications for finite difference equations involving several independent variables and for numerical analysis. Their consequence for the case of N = 3, generalizes all of the known theorems obtained by Pachpatte and ...
En Hao Yang
wiley +1 more source
Some sharp inequalities involving Seiffert and other means and their concise proofs [PDF]
, 2012 In the paper, by establishing the monotonicity of some functions involving the sine and cosine functions, the authors provide concise proofs of some known inequalities and find some new sharp inequalities involving the Seiffert, contra-harmonic ...
Jiang, Wei-Dong, Qi, Feng
core +1 more source
On some inequalities for the identric, logarithmic and related means [PDF]
, 2015 We offer new proofs, refinements as well as new results related to classical means of two variables, including the identric and logarithmic means.Comment:
Bhayo, Barkat Ali, Sándor, József
core +2 more sources
The monotonicity of ratios involving arc tangent function with applications
Open Mathematics, 2019 In this paper, we investigate the monotonicity of the ...
Yang Zhen-Hang, Tin King-Fung, Gao Qin
doaj +1 more source
Sum of squared logarithms - An inequality relating positive definite matrices and their matrix logarithm [PDF]
, 2013 Let y1, y2, y3, a1, a2, a3 > 0 be such that y1 y2 y3 = a1 a2 a3 and y1 + y2 + y3 >= a1 + a2 + a3, y1 y2 + y2 y3 + y1 y3 >= a1 a2 + a2 a3 + a1 a3. Then the following inequality holds (log y1)^2 + (log y2)^2 + (log y3)^2 >= (log a1)^2 + (log a2)^2 + (log
Birsan, Mircea +2 more
core +2 more sources
Sharpening and generalizations of Shafer's inequality for the arc tangent function
, 2009 In this paper, we sharpen and generalize Shafer's inequality for the arc tangent function.
Bai-Ni Guo, Feng Qi, Shi-Qin Zhang
core +4 more sources
Sharp Cusa and Becker-Stark inequalities [PDF]
, 2011 We determine the best possible constants θ,ϑ,α and β such that the inequalities ((2+cosx)/3)^θ < sinx/x < ((2+cosx)/3)^ϑ and ((π^2)/(π^2-4×^2))^α < tan×/× < ((π^2)/(π^2-4×^2))^β are valid for 0 < × < π/2.
Chen, CP, Cheung, WS
core +1 more source
A Note on Extrema of Linear Combinations of Elementary Symmetric Functions
, 2013 This note provides a new approach to a result of Foregger and related earlier results by Keilson and Eberlein. Using quite different techniques, we prove a more general result from which the others follow easily. Finally, we argue that the proof given by
Alexander Kovačec +5 more
core +1 more source