Results 1 to 10 of about 46 (46)
The ideal of Lipschitz classical p-compact operators and its injective hull
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
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
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
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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Inequalities via s−convexity and log −convexity
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
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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
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
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
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On generalized Baskakov-Durrmeyer-Stancu type operators
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
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Chlodowsky variant of Bernstein-type operators on the domain
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
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