Results 51 to 60 of about 486,669 (177)
A remark on Besov spaces interpolation over the 2-adic group
Motivated by a recent result which identifies in the special setting of the 2-adic group the Besov space $\dot{B}^{1,\infty}_{1}(\mathbb{Z}_2)$ with $BV(\mathbb{Z}_2)$, the space of function of bounded variation, we study in this article some functional ...
Chamorro, Diego
core +1 more source
Countable Additivity of Spreading the Differentiation Operator
In this article, we continue the study of the properties acquired by the differentiation operator Λ with spreading beyond the space W1¹. The study is conducted by introducing the family of spaces Yp¹ , 0 < p < 1, having analogy with the family Wp¹,
A. N. Morozov
doaj +1 more source
Boundedness of higher-order Marcinkiewicz-Type integrals
Let A be a function with derivatives of order m and DγA∈Λ˙β ...
Shanzhen Lu, Huixia Mo
doaj +1 more source
On Functions of Bounded (p,k)-Variation
We introduce and study the concept of (p,k)-variation ...
N. Merentes, S. Rivas, J. L. Sanchez
doaj +1 more source
Some New Approaches to Fractional Euler–Maclaurin-Type Inequalities via Various Function Classes
This paper aims to examine an approach that studies many Euler–Maclaurin-type inequalities for various function classes applying Riemann–Liouville fractional integrals.
Mehmet Gümüş +2 more
doaj +1 more source
Eigenvalues of the negative Laplacian for arbitrary multiply connected domains
The purpose of this paper is to derive some interesting asymptotic formulae for spectra of arbitrary multiply connected bounded domains in two or three dimensions, linked with variation of positive distinct functions entering the boundary conditions ...
E. M. E. Zayed
doaj +1 more source
Minimizing Functions with Bounded Variation of Subgradients [PDF]
In many applications it is possible to justify a reasonable bound for possible variation of subgradients of objective function rather than for their uniform magnitude. In this paper we develop a new class of efficient primal-dual subgradient schemes for such problem classes.
openaire +2 more sources
On the first and second variation in the sense of Schramm-Riesz
In this paper we present a generalization of the concepts of first and second F-variation (where F is a certain sequence of positive convex function defined on [0;+8], in the sense of Schramm-Riesz for normed space valued functions defined on an interval
doaj
On functions of bounded ω-variation, II [PDF]
Let ω(x) be a non-decreasing function defined in the interval [a, b]. We extend the definition to all x by taking ω(x) = ω(a) for x < a and ω(x) = ω(b) for x > b. R. L. Jeffery [2] has denoted by the class of functions F(x) defined as follows:
openaire +1 more source
Some properties of Urysohn-Stieltjes integral operators
We investigate some properties of Urysohn-Stieltjes integral operators. The assumptions will be formulated under which the operators in question transform the space of coatinuous functions into itself or in the space of functions of bounded variation ...
Józef Banaś
doaj +1 more source

