Results 51 to 60 of about 20,152 (160)
Lipschitz modulus of convex functions via function values
Optimization LettersIn this note, we establish the Lipschitz continuity of finite-dimensional globally convex functions on all given balls and global Lipschitz continuity for eligible functions of that type. The Lipschitz constants in both situations draw information solely from function values, and the global Lipschitz modulus is found when it exists.
Pham Duy Khanh +3 more
openaire +2 more sources
Improved Steganographic Method Preserving Pixel-Value Differencing Histogram with Modulus Function
EURASIP Journal on Advances in Signal Processing, 2010 We herein advance a secure steganographic algorithm that uses a turnover policy and a novel adjusting process. Although the method of Wang et al. uses Pixel-Value Differencing (PVD) and their modulus function provides high capacity and good image quality,
Lee Hae-Yeoun +2 more
doaj +2 more sources
Inclusions of Hardy Orlicz spaces
International Journal of Mathematics and Mathematical Sciences, 1986 Let ϕ be a continuous positive increasing function defined on [0,∞) such that ϕ(x+y)≤ϕ(x)+ϕ(y) and ϕ(0)=0. The Hardy-Orlicz space generated by ϕ is denoted by H(ϕ). In this paper, we prove that for ϕ≠ψ, if H(ϕ)=H(ψ) as sets, then H(ϕ)=H(ψ) as topological
Roshdi Khalil
doaj +1 more source
A special modulus of continuity and the K -functional [PDF]
Acta Mathematica Scientia, 2016 We consider the questions connected with the approximation of a real continuous 1-periodic functions and give a new proof of the equivalence of the special Boman-Shapiro modulus of continuity with Peetre's K-functional. We also prove Jackson's inequality for the approximation by trigonometric polynomials.
openaire +2 more sources
A modulus of smoothness for some Banach function spaces
Ukrains’kyi Matematychnyi Zhurnal, 2023 UDC 517.5 Based on the Steklov operator, we consider a modulus of smoothness of functions in some Banach function spaces, which can be not translation invariant and establish its main properties. A constructive characterization of the Lipschitz class is obtained by using the Jackson-type direct theorem and inverse theorem of trigonometric ...
openaire +4 more sources
Modulated convergence: a deferred approach
Demonstratio MathematicaIn this paper, we further develop the study of the interplay between statistical and strong Cesàro convergence modulated by a modulus function, as initiated in the papers by Saavedra et al. and Romero de la Rosa.
Et Mikail +2 more
doaj +1 more source
Modulus in Banach function spaces [PDF]
Arkiv för Matematik, 2017 Moduli of path families are widely used to mark curves which may be neglected for some applications. We introduce ordinary and approximation modulus with respect to Banach function spaces. While these moduli lead to the same result in reflexive spaces, we show that there are important path families (like paths tangent to a given set) which can be ...
Honzlová Exnerová, Vendula +2 more
openaire +2 more sources
Compressibility of titanosilicate melts [PDF]
, 1994 The effect of composition on the relaxed adiabatic bulk modulus (K0) of a range of alkali- and alkaline earth-titanosilicate [X 2 n/n+ TiSiO5 (X=Li, Na, K, Rb, Cs, Ca, Sr, Ba)] melts has been investigated. The relaxed bulk moduli of these melts have been
Dingwell, Donald B., Webb, Sharon L.
core +1 more source
A Modulus of Continuity for a Class of Quasi-Smooth Functions [PDF]
Proceedings of the American Mathematical Society, 1985 Let Z be the Zygmund class of functions f on [-1,1] such that \(f(- 1)=f(1)=0\) and \(| \Delta^ 2_ hf| \leq 2h.\) Let \(\omega (h)=\sup_{f\in Z}\sup_{| x-y| \leq h}| f(x)-f(y)|.\) Theorem. \[ \omega (h)\leq h \log_ 2\{2eK/(h \log_ 2 e)\}; \] here \(K=\sup_{f\in Z}\sup_{x}| f(x)\). A preceding result of \textit{A. F. Timan} [Izv. Akad.
openaire +1 more source
Effect of sterilization by gamma radiation on nano-mechanical properties of teeth
, 2008 NOTICE: this is the author’s version of a work that was accepted for publication in Dental Materials. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms ...
Marshall, GW +9 more
core +1 more source