Results 11 to 20 of about 58 (57)
On functions determined by limit sets and the quasi-Świątkowski property
, 2021 We introduce and investigate the class of functions determined by limit sets for which at each point the intersection of the sets of left-hand and right-hand limit numbers is singleton containing value of function at this point.
Chmielewska, Kataryzna +1 more
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Global Smoothness Of Approximating Functions
, 1991 We investigate the conditions under which global smoothness of a function f (as measured by its modulus of continuity) is retained by the elements of approximating sequences (Lnf).
Anastassiou, George A. +2 more
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Separating sets by bilaterally quasi-continuous functions
, 2021 In this paper we characterize the pairs (A0;A1) and (A-, A+) of disjoint sets which can be separated by a bilaterally quasi-continuous function. Moreover, we characterize when two arbitrary subsets of the real line can be separated by bilaterally dense ...
Syzsykowska, Paulina
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Stancu-durrmeyer type operators based on q-integers
, 2017 In this paper, we construct the Stancu-Durrmeyer-type modification of q-Bernstein operators by means of q-Jackson integral. Here, we establish moment estimates and some direct results which include basic convergence theorem, local approximation theorem ...
Araci, Serkan +8 more
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Blending type approximation by bivariate generalized Bernstein type operators
, 2021 In this article we establish an extension of the bivariate generalization of the Bernstein type operators involving parameters. For these operators we obtain a Voronovskaja type and Grüss Voronovskaja type theorems and the degree of approximation by ...
Kajla, Arun, Baxhaku, Behar
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Extensions of semicontinuous and quasi-continuous functions from dense subspaces
, 2021 In this paper we give a sufficient condition for existence of an extension of a lower (upper) semicontinuous function 0 defined on a given dense subset of a topological space X to a lower (upper) semicontinuous function : X → ℝ.
Kosman, Jolanta
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Functions Whose Smoothness Is Not Improved Under the Limit q-bernstein Operator
, 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
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Weighted Ostrowski-Grüss type inequalities
, 2015 Several inequalities of Ostrowski-Grüss-type available in the literature are generalized considering the weighted case of them. Involving the least concave majorant of the modulus of continuity we provide upper bounds of our inequalities.
GONSKA, Heiner, ACU, Ana Maria
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Separating sets by lower and upper semicontinuous functions with a closed graph
, 2016 In this paper we characterize the pairs (A- ;A+) of disjoint subsets of perfectly normal topological space which can be separated by a lower and an upper semicontinuous function with a closed graph.Mathematics Subject Classification (2010): 54C30, 26A15,
Kosman, Jolanta
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, 2016 In this article we study the multivariate generalized discrete singular operators defined on R N , N ≥ 1, regarding their simultaneus global smoothness preservation property with respect to Lp norm for 1 ≤ p ≤ ∞, by using higher order moduli of ...
KESTER, Merve, ANASTASSIOU, George A.
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