Results 11 to 20 of about 5,519,001 (64)
APPROXIMATION OF ONE CLASS OF SMOOTH FUNCTIONS BY ANOTHER CLASS OF SMOOTHER FUNCTIONS ON THE AXIS [PDF]
This paper investigates the problem of best and best linear approximation in the space of functions on the real axis with bounded Fourier transform. The study focuses on approximating the class \(B_1^{n-k}(1)\) of functions whose derivatives of order \(n-
Vitalii V. Arestov
doaj +5 more sources
Assessing students’ self-efficacy when solve mathematical problem based on gender [PDF]
Self-efficacy, problem solving, and gender differences are aspects that many researchers concern to today. Therefore, the purpose of this study was to describe the profile of students’ self-efficacy in solving problems based on gender.
Syamsu Alam +5 more
core +1 more source
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
The maximal operator in weighted variable spaces Lp(⋅)
We study the boundedness of the maximal operator in the weighted spaces Lp(⋅)(ρ) over a bounded open set Ω in the Euclidean space ℝn or a Carleson curve Γ in a complex plane. The weight function may belong to a certain version of a general Muckenhoupt‐type condition, which is narrower than the expected Muckenhoupt condition for variable exponent, but ...
Vakhtang Kokilashvili +3 more
wiley +1 more source
Extending Stechkin's theorem and beyond
We generalize Stechkin's theorem about the single-valuedness of the nearest point mapping at most points to any complete length space without bifurcating geodesics and make further ...
Tudor Zamfirescu
core +1 more source
Modulus of smoothness and theorems concerning approximation on compact groups
We consider the generalized shift operator defined by (Shuf)(g) = ∫Gf(tut−1g)dt on a compact group G, and by using this operator, we define spherical modulus of smoothness. So, we prove Stechkin and Jackson‐type theorems.
H. Vaezi, S. F. Rzaev
wiley +1 more source
Concepts of generalized bounded variation and the theory of Fourier series
The aim of this article is to unify a large part of present knowledge about the behaviour of Fourier series of functions of generalized bounded variation. The connections between various concepts are discussed, particular attention being payed to those due to Waterman and Chanturiya.
M. Avdispahić
wiley +1 more source
Extending and paralleling Stechkin's category theorem
We strengthen one of Stechkin's theorems. We also obtain results in the same spirit regarding the farthest point mapping.
Zamfirescu, Tudor
core
Validity and Problem-Based Learning Research: A Review of Instruments Used to Assess Intended Learning Outcomes [PDF]
Problem-based learning (PBL) spread from the medical school to other university and K-12 contexts due, in part, to the stated promise that PBL produces the target outcomes of deep content learning, increased problem-solving ability, and increased self ...
Belland, Brian Robert +4 more
core +1 more source
A decoupling interpretation of an old argument for Vinogradov's Mean Value Theorem
Abstract We interpret into decoupling language a refinement of a 1973 argument due to Karatsuba on Vinogradov's mean value theorem. The main goal of our argument is to answer what precisely solution counting in older partial progress on Vinogradov's mean value theorem corresponds to in Fourier decoupling theory.
Brian Cook +5 more
wiley +1 more source

