Results 21 to 30 of about 188 (39)
Ky Fan inequality and bounds for differences of means
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 16, Page 995-1002, 2003., 2003 We prove an equivalent relation between Ky Fan‐type inequalities and certain bounds for the differences of means. We also generalize a result of Alzer et al. (2001).
Peng Gao
wiley +1 more source
Nabla Discrete fractional Calculus and Nabla Inequalities [PDF]
, 2009 Here we define a Caputo like discrete nabla fractional difference and we produce discrete nabla fractional Taylor formulae for the first time. We estimate their remaiders.
Anastassiou, George A.
core +1 more source
A generalization of Ky Fan′s inequality
International Journal of Mathematics and Mathematical Sciences, Volume 28, Issue 7, Page 419-425, 2001., 2001 Let Pn,r(x) be the generalized weighted means. Let F(x) be a C1 function, y = y(x) an implicit decreasing function defined by f(x, y) = 0 and 0 < m < M ≤ m′, n ≥ 2, xi ∈ [m, M], yi ∈ [m′, M′]. Then for −1 ≤ r ≤ 1, if f′x/f′y≤1, |(F(Pn,1(y))−F(Pn,r(y)))/(F(Pn,1(x))−F(Pn,r(x)))|<(maxm′≤ξ≤M′|F′(ξ)|)/(minm≤η≤M|F′(η)|)⋅M/m′⋅M/m′ A similar result exists for ...
Peng Gao
wiley +1 more source
Spectral inequalities involving the sums and products of functions
International Journal of Mathematics and Mathematical Sciences, Volume 5, Issue 1, Page 141-157, 1982., 1980 In this paper, the notation ≺ and ≺≺ denote the Hardy‐Littlewood‐Pólya spectral order relations for measurable functions defined on a fnite measure space (X, Λ, μ) with μ(X) = a, and expressions of the form f≺g and f≺≺g are called spectral inequalities. If f, g ∈ L1(X, Λ, μ), it is proven that, for some b ≥ 0, log[b+(δfιg)+]≺≺log[b+(fg)+]≺≺log[b+(δfδg)+
Kong-Ming Chong
wiley +1 more source
, 2013 For a class of partially ordered means we introduce a notion of the (nontrivial) cancelling mean. A simple method is given which helps to determine cancelling means for well known classes of Holder and Stolarsky ...
Simic, Slavko
core +2 more sources
Weighted isoperimetric inequalities in cones and applications [PDF]
, 2012 This paper deals with weighted isoperimetric inequalities relative to cones of $\mathbb{R}^{N}$. We study the structure of measures that admit as isoperimetric sets the intersection of a cone with balls centered at the vertex of the cone.
Brock, Friedemann +2 more
core +1 more source
Popoviciu type inequalities for n-convex functions via extension of Montgomery identity
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 Extension of Montgomery's identity is used in derivation of Popoviciu-type inequalities containing sums , where f is an n-convex function. Integral analogues and some related results for n-convex functions at a point are also given, as well as Ostrowski ...
Khan Asif R. +2 more
doaj +1 more source
Inequality for power series with nonnegative coefficients and applications [PDF]
, 2015 We establish in this paper some Jensen’s type inequalities for functions defined by power series with nonnegative coefficients.
Dragomir, Sever S
core +2 more sources
An alternative proof of Elezovi\'c-Giordano-Pe\v{c}ari\'c's theorem
, 2009 In the present note, an alternative proof is supplied for Theorem~1 in [N. Elezovi\'c, C. Giordano and J. Pe\v{c}ari\'c, \textit{The best bounds in Gautschi's inequality}, Math. Inequal. Appl.
Guo, Bai-Ni, Qi, Feng
core +1 more source
On generalizations of Ostrowski inequality via Euler harmonic identities [PDF]
, 2002 Copyright © 2002 L. J. Dedić et al. This work is licensed under a Creative Commons License.Some generalizations of Ostrowski inequality are given, by using some Euler identities involving harmonic sequences of polynomials.L. J. Dedić, M.
Dedic, Ljuban +3 more
core +1 more source