Results 21 to 30 of about 199 (44)
[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
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
On the Supremum of Random Dirichlet Polynomials [PDF]
, 2006 We study the supremum of some random Dirichlet polynomials and obtain sharp upper and lower bounds for supremum expectation that extend the optimal estimate of Hal\'asz-Queff\'elec and enable to cunstruct random polynomials with unusually small maxima.
Lifshits, Mikhail, Weber, Michel
core +3 more sources
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
The maximum modulus of a trigonometric trinomial [PDF]
, 2007 Let Lambda be a set of three integers and let C_Lambda be the space of 2pi-periodic functions with spectrum in Lambda endowed with the maximum modulus norm.
D. I. Cartwright +22 more
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
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