modulus of smoothness
Towards the best constant in front of the Ditzian Totik modulus of smoothness
... The main results are Theorems . and ., stated in Section . To keep the paper in a moderate size, we only consider two illustrative examples. The first one is the classi- cal Weierstrass operator, involving the usual ...
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Equivalence between Modulus of Smoothness and K Functional on Rotation Group SO(3)*
... Many results of approximation are based on Euclid spaces or their compact sub- sets. Periodic approximation is based on compact group {exp( ix )}, whereas ma- trix group U ( n ) is the generalization of {exp( ix )}. We ...
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Equivalence of K Functionals and Modulus of Smoothness Generated by a Generalized Dunkl Operator on the Real Line
... The authors have developed in [7] [8] a new harmonic analysis on the real line related to the differential-dif- ference operator Λ in which several classical analytic structures such as the Fourier transform, the ...
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Modulus of smoothness and theorems concerning approximation on compact groups
... Like many branches of harmonic analysis on T and R, the theory of absolutely convergent Fourier series is a fruitful source of questions about the corresponding entity for compact groups[r] ...
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Vol 7, No 2 (2016)
... I n this paper we will show how we can estimate the error for the Finite Fourier Transform by Averaged modulus of smoothness, for integrable 1-periodic functions defined on aclosed inte[r] ...
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Approximation degree of Durrmeyer–Bézier type operators
... Recently, a mixed hybrid operator, generalizing the well-known Phillips operators and Baskakov–Szász type operators, was introduced. In this paper, we study Bézier variant of these new operators. We investigate the ...
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Copositive Approximation by Using Whitney Theorem in
... of smoothness are intended for mathematicians working in approximation theory, numerical analysis and real ...the smoothness of a function by differentiability is too crude for many purposes in ...
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Vol 7, No 4 (2016)
... (1 ≤ 𝑝𝑝 < ∞ ) by Spline polynomials ,we consider the point wise estimes in terms of Ditzian-Totic modulus of smoothness are true for spline approximation in the space 𝐿𝐿 𝑝𝑝 , µ [ 𝑎𝑎[r] ...
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Some approximation properties of \((p,q)\) Bernstein operators
... In the following we establish a global approximation theorem by means of Ditzian-Totik modulus of smoothness. In order to prove our next result, we recall the definitions of the Ditzian-Totik first order ...
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Approximation of a kind of new type Bézier operators
... In this paper, a kind of new type Bézier operators is introduced. The Korovkin type approximation theorem of these operators is investigated. The rates of convergence of these operators are studied by means of ...
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Blending type approximation by \(GBS\) operators of bivariate tensor product of λ Bernstein–Kantorovich type
... In this paper, we deduce the rate of convergence of GBS operators of bivariate tensor prod- uct of λ-Bernstein–Kantorovich type for B-continuous and B-differentiable functions by using the mixed modulus of ...
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Some Properties of Pythagorean Modulus
... A Banach space X is called uniformly smooth if and only if lim →0 ρX / = 0, where the function ρX is Lindenstrauss’s modulus of smoothness defined by [9].. It is convenient for us to a[r] ...
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Stechkin Marchaud Type Inequalities in Lp for Linear Combination of Bernstein Durrmeyer Operators
... In this paper, we first establish Bernstein-type inequality with parameter O for O n r , ( ; ) f x . After that, we use the equivalence relation between K-functional and modulus of smoothness, and give the ...
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Direct and converse results in the Ba space for Jackson Matsuoka polynomials on the unit sphere
... and modulus of smoothness on the sphere in the Ba space and the properties of the spherical means, we obtain the direct and converse best approximation in the Ba space by Jackson-Matsuoka polynomial on the ...
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Rate of convergence by Kantorovich Szász type operators based on Brenke type polynomials
... Ditzian-Totik modulus of smoothness and study the degree of approximation of the univariate operators for continuous functions in a Lipschitz space, a Lipschitz type maximal function and a weighted ...
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The Young's modulus of feather keratin
... It is interesting to consider why the published estimates of Young’s modulus of feather keratin vary so much. The mechanical properties of feather keratin vary appreciably along the length of the rachis. It is for ...
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Unemployment and the smoothness of consumption in business cycle models
... Keywords: Consumption smoothing, unemployment, business cycles, non-separable preferences.. * Liam Graham: Department of Economics, Birkbeck College, 7-15 Gresse Street, London, W1T 1LL,[r] ...
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Elastic Properties of New Solid State Electrolyte Material Li10GeP2S12: A Study from First-Principles Calculations
... obtained and the results satisfy the Born’s criteria of lattice stability. The bulk modulus B, shear modulus G, Young’s modulus E, elastic modulus and Poisson’s ratio were calculated to be ...
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Smoothness conditions on measures using Wallman spaces
... 4. Measurability and smoothness. In this section, we wish to show how the mea- surability of certain sets in the Wallman spaces affect the smoothness of the given measure in the original space. To be more ...
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Smoothness: an Unexplored Window into Coordinated Running Proficiency
... More recent work, however, has proposed that smooth movements are inherently more predictable than less smooth, more erratic ones [39]. A more accurate predic- tion of upcoming movement demands is of substantial benefit ...
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