Results 1 to 10 of about 49 (49)

The ideal of Lipschitz classical p-compact operators and its injective hull

Moroccan Journal of Pure and Applied Analysis, 2022
We introduce and investigate the injective hull of the strongly Lipschitz classical p-compact operator ideal defined between a pointed metric space and a Banach space.
Tiaiba Toufik, Achour Dahmane
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Some estimates for commutators of sharp maximal function on the p-adic Lebesgue spaces

Open Mathematics, 2023
In this article, the main aim is to consider the boundedness of the nonlinear commutator of pp-adic sharp maximal operator ℳp♯{{\mathcal{ {\mathcal M} }}}_{p}^{\sharp } with symbols belonging to the pp-adic Lipschitz spaces in the context of the pp-adic ...
Wu Jianglong, Chang Yunpeng
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Hölder Parameterization of Iterated Function Systems and a Self-Affine Phenomenon

Analysis and Geometry in Metric Spaces, 2021
We investigate the Hölder geometry of curves generated by iterated function systems (IFS) in a complete metric space. A theorem of Hata from 1985 asserts that every connected attractor of an IFS is locally connected and path-connected.
Badger Matthew, Vellis Vyron
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A dichotomy of sets via typical differentiability

Forum of Mathematics, Sigma, 2020
We obtain a criterion for an analytic subset of a Euclidean space to contain points of differentiability of a typical Lipschitz function: namely, that it cannot be covered by countably many sets, each of which is closed and purely unrectifiable (has a ...
Michael Dymond, Olga Maleva
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Functions Whose Smoothness Is Not Improved Under the Limit q-bernstein Operator [PDF]

, 2012
The limit q-Bernstein operator B-q emerges naturally as a modification of the Szasz-Mirakyan operator related to the Euler probability distribution. At the same time, this operator serves as the limit for a sequence of the q-Bernstein polynomials with 0 <
Ostrovska, Sofiya
core   +1 more source

Inequalities via s−convexity and log −convexity

Topological Algebra and its Applications, 2017
In this paper, we obtain some new inequalities for functions whose second derivatives’ absolute value is s−convex and log −convex. Also, we give some applications for numerical integration.
Akdemir Ahmet Ocak, Ardıç Merve Avcı, Özdemir M. Emin   +2 more
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On generalized Baskakov-Durrmeyer-Stancu type operators

Demonstratio Mathematica, 2017
In this paper, we study some local approximation properties of generalized Baskakov-Durrmeyer-Stancu operators. First, we establish a recurrence relation for the central moments of these operators, then we obtain a local direct result in terms of the ...
Kumar Angamuthu Sathish, Finta Zoltán, Agrawal Purshottam Narain   +2 more
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Weighted Theorems on Fractional Integrals in the Generalized Hölder Spaces via Indices mω and Mω [PDF]

, 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 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, Karaman Rabia Aktaş   +1 more
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Extreme non-differentiability of typical Lipschitz mappings

Forum 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