Results 11 to 20 of about 219 (59)
[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
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
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
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
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
Inequalities for the generalized trigonometric functions with respect to weighted power mean
Demonstratio MathematicaThe generalized trigonometric functions occur as an eigenfunction of the Dirichlet problem for the one-dimensional pp-Laplacian. In this study, the authors investigate some weighted power mean inequalities for the pp-generalized trigonometric functions ...
Zhong Genhong, Ma Xiaoyan
doaj +1 more source
Singular Oscillatory Integrals on R^n
, 2009 Let Pd,n denote the space of all real polynomials of degree at most d on R^n. We prove a new estimate for the logarithmic measure of the sublevel set of a polynomial P in Pd,1.
A. Carbery +3 more
core +1 more source
Hypergeometric series approach to the p-generalized Masjed-Jamei type inequality
Demonstratio MathematicaIn this paper, we establish a counterpart of the Masjed-Jamei inequality involving the inverse hyperbolic tangent and inverse trigonometric sine functions, and extend this Masjed-Jamei type inequality to the setting of p-generalized inverse trigonometric
Liao Yuqun, Zhao Tiehong
doaj +1 more source
On two new means of two arguments III [PDF]
, 2017 In this paper authors establish the two sided inequalities for the following two new means $$X=X(a,b)=Ae^{G/P-1},\quad Y=Y(a,b)=Ge^{L/A-1}.$$ As well as many other well known inequalities involving the identric mean $I$ and the logarithmic mean are ...
Bhayo, Barkat Ali, Sándor, József
core +3 more sources