Results 11 to 20 of about 51 (50)

Weighted Theorems on Fractional Integrals in the Generalized Hölder Spaces via Indices mω and Mω [PDF]

open access: yes, 2004
Mathematics Subject Classification: 26A16, 26A33, 46E15.There are known various statements on weighted action of one-dimensional and multidimensional fractional integration operators in spaces of continuous functions, such as weighted generalized Hölder ...
Samko, Natasha, Karapetyants, Nikolai
core  

Chlodowsky variant of Bernstein-type operators on the domain

open access: yesOpen Mathematics
In the present paper, we deal with Bernstein-Chlodowsky type operators for approximating functions on the domain. We first present Bernstein-Chlodowsky type operators in two variables and then we discuss some examples of these operators under a domain ...
Serenbay Sevilay Kırcı   +1 more
doaj   +1 more source

Extreme non-differentiability of typical Lipschitz mappings

open access: yesForum of Mathematics, Sigma
We show that no matter what subset of a normed space is given, a typical 1-Lipschitz mapping into a Banach space is non-differentiable at a typical point of the set in a very strong sense: the set of partial limits of its derivative ratios, which is ...
Michael Dymond, Olga Maleva
doaj   +1 more source

Commutators for the maximal and sharp functions with weighted Lipschitz functions on weighted Morrey spaces

open access: yesDemonstratio Mathematica
We study the boundedness of commutators of the Hardy-Littlewood maximal function and the sharp maximal function on weighted Morrey spaces when the symbols of the commutators belong to weighted Lipschitz spaces (weighted Morrey-Campanato spaces). Some new
Zhang Pu, Fan Di
doaj   +1 more source

Superposition operator problems of Hölder-Lipschitz spaces

open access: yesDemonstratio Mathematica
Let ff be a function defined on the real line, and Tf{T}_{f} be the corresponding superposition operator which maps hh to Tf(h){T}_{f}\left(h), i.e., Tf(h)=f∘h{T}_{f}\left(h)=f\circ h. In this article, the sufficient and necessary conditions such that Tf{
Niu Yeli, Wang Heping
doaj   +1 more source

Classification of Lipschitz Derivatives in Terms of Semicontinuity and the Baire Limit Functions

open access: yesAnnales Mathematicae Silesianae
We introduce the generalized notion of semicontinuity of a function defined on a topological space and derive the useful classification of the so-called Lipschitz derivatives of functions defined on a metric space.
Maslyuchenko Oleksandr V.   +1 more
doaj   +1 more source

On the Construction of Hölder and Proximal Subderivatives

open access: yes, 1997
. We construct Lipschitz functions such that for all s ? 0 they are s--Holder, and so proximally, subdifferentiable only on dyadic rationals and nowhere else.
J.M. Borwein, X. Wang, R. Girgensohn
core  

Distinct Differentiable Functions May Share the Same Clarke Subdifferential at All Points

open access: yes, 1995
. We construct, using Zahorski's Theorem, two everywhere differentiable real--valued Lipschitz functions differing by more than a constant but sharing the same Clarke subdifferential and the same approximate subdifferential.
J.M. Borwein, Xianfu Wang
core  

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