Results 1 to 10 of about 51 (50)

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

open access: yesMoroccan 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
doaj   +1 more source

Some estimates for commutators of sharp maximal function on the p-adic Lebesgue spaces

open access: yesOpen 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
doaj   +1 more source

Functions Whose Smoothness Is Not Improved Under the Limit q-bernstein Operator [PDF]

open access: yes, 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   +2 more sources

Hölder Parameterization of Iterated Function Systems and a Self-Affine Phenomenon

open access: yesAnalysis 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
doaj   +1 more source

A dichotomy of sets via typical differentiability

open access: yesForum 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
doaj   +1 more source

Inequalities via s−convexity and log −convexity

open access: yesTopological 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   +2 more
doaj   +1 more source

Parameter depending almost monotonic functions and their applications to dimensions in metric measure spaces

open access: yesJournal of Function Spaces, Volume 7, Issue 1, Page 61-89, 2009., 2009
In connection with application to various problems of operator theory, we study almost monotonic functions w(x, r) depending on a parameter x which runs a metric measure space X, and the so called index numbers m(w, x), M(w, x) of such functions, and consider some generalized Zygmund, Bary, Lozinskii and Stechkin conditions.
Natasha Samko, Vladimir D. Stepanov
wiley   +1 more source

On common fixed and periodic points of commuting functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 2, Page 269-276, 1998., 1996
It is known that two commuting continuous functions on an interval need not have a common fixed point. It is not known if such two functions have a common periodic point. In this paper we first give some results in this direction. We then define a new contractive condition, under which two continuous functions must have a unique common fixed point.
Aliasghar Alikhani-Koopaei
wiley   +1 more source

A counter example on common periodic points of functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 4, Page 823-827, 1998., 1998
By a counter example we show that two continuous functions defined on a compact metric space satisfying a certain semi metric need not have a common periodic point.
Aliasghar Alikhani-Koopaei
wiley   +1 more source

On generalized Baskakov-Durrmeyer-Stancu type operators

open access: yesDemonstratio 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   +2 more
doaj   +1 more source

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