In this paper, we give a degree of approximation function in the space $$H_{p}^{(\omega , \omega )}$$ by using second type double delayed arithmetic means its Fourier series. Such is expressed via two functions moduli continuity type. To obtain one more general result, used even-type series as well.

We estimate the constants sup x∈(0,1) sup f∈C[0,1]\Π1 |Bn(f,x)−f(x)| ω2 f, x(1−x) n and inf x∈(0,1) sup f∈C[0,1]\Π1 |Bn(f,x)−f(x)| ω2 f, x(1−x) n , where Bn is the Bernstein operator of degree n and ω2 is the second order modulus of continuity. 2000 Mathematical Subject Classification: 41A36, 41A10, 41A25,

This paper introduces a new family of c'-continuous interpolatory variable-degree polynomial splines and investigates their interpolation and asymptotic properties as the segment degrees increase. The basic outcome of this investigation is an iterative algorithm for constructing C4 interpolants, which conform with the discrete convexity and torsion information contained in the associated polygo...

To solve the problems of long start-up latency, low playback continuity and data distribution rate in P2P live streaming system, this paper proposes two optimization strategies. One is an adaptive peer selection algorithm based on peers’ real-time service ability. In the algorithm, a simple but effective method is proposed to calculate the peers’ ability. And source peer adjusts the amount of r...

We prove an analog of the Yomdin–Gromov lemma for p-adic definable sets and more broadly in a non-Archimedean definable context. This analog keeps track of piecewise approximation by Taylor polynomials, a nontrivial aspect in the totally disconnected case. We apply this result to bound the number of rational points of bounded height on the transcendental part of p-adic subanalytic sets, and to ...

The intergranal lamellae, or frets, are helically arranged around each granum. All helices within a plastid are co-directional. The helices wind in the same direction from plastid to plastid, from cell to cell, and from species to species, and are right-handed. The continuity of the intergranal membranes in 3-dimensional space is facilitated by the fact that all the helices within a plastid win...

in the present paper, we rst modify the concepts of weakly fuzzy boundedness, strongly fuzzy boundedness, fuzzy continuity, strongly fuzzy continuity and weakly fuzzy continuity. then, we try to nd some relations by making a comparative study of the fuzzy norms of linear operators.

As weak forms of continuity in topological spaces, weak continuity [I], quasi continuity [2], semi continuity [3] and almost continuity in the sense of Husain [4] are well-known. Recently, the following four weak forms of continuity have been introduced: weak quasi continuity [5], faint continuity [6], subweak continuity [7] and almost weak continuity [8]. These four weak forms of continuity ar...

A generalization of a theorem by Pegna and Wolter—called Linkage Curve Theorem—is presented. The new theorem provides a condition for joining two surfaces with high order geometric continuity of arbitrary degree n. It will be shown that the Linkage Curve Theorem can be generalized even for the case when the common boundary curve is only G1.  1999 Elsevier Science B.V. All rights reserved.

We consider control problems for the variational inequality describing a single degree of freedom elasto-plastic oscillator. We are particularly interested in finding the ”critical excitation”, i.e., the lowest energy input excitation that drives the system between the prescribed initial and final states within a given time span. This is a control problem for a state evolution described by a va...