Trigonometric series
On weighted integrability of functions defined by trigonometric series with p bounded variation coefficients
... θ ∈ (0, 1]. Moreover, we have studied properties of such classes and obtained a sufficient and necessary condition for weighted integrability of functions defined by trigonometric series with coefficients ...
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24. Double Trigonometric Series and Zygmund Classes of Functions with Two Variables
... ∆ 2,2 (f ; x, y; h, k) := f (x + h, y + k) + f (x − h, y + k) + f (x + h, y − k) + f (x − h, y − k) − 2f (x, y + k) − 2f (x, y − k) − 2f (x + h, y) − 2f (x − h, y) + 4f (x, y). Recently, F¨ ul¨ op ([1], [2]) obtained the ...
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On Weighted Integrability of Functions Defined by Trigonometric Series
... Heywood, “On the integrability of functions defined by trigonometric series,” The Quarterly Journal of Mathematics, vol.. Chen, “On the integrability of functions defined by trigonometri[r] ...
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On the mean summability by Cesaro method of Fourier trigonometric series in two weighted setting
... of trigonometric Fourier series is investigated in the weighted Lebesgue spaces in a two-weight case, for one and two ...for trigonometric polynomials of one and two ...
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On Integrability of Trigonometric Series with Special Type of Coefficients
... In [ 4 ] an example is given to show that (6) is an effective generalization of the null sequences of bounded variation. This fact encouraged the present author to consider the series (1) with coefficients that ...
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Integrability of Trigonometric Series with Coefficients Satisfying Certain Conditions
... International Journal for Research in Applied Science & Engineering Technology IJRASET case of theorem1 while, for proof of necessity part, some miner changes are required.. For sake of [r] ...
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Vol 8, No 11 (2017)
... Fourier series using modified trigonometric sums introduced by Rees and Stanojevic [15] and by Kumari and Ram ...of trigonometric series can be better established using modified ...
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ON L1-CONVERGENCE OF MODIFIED COSINE SUMS WITH PARTICULAR COEFFICIENTS
... the trigonometric series in L 1 – metric without any additional condition where as the classical trigonometric partial sums may require additional conditions for L 1 – ...cosine series has ...
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Universal series by trigonometric system in weighted Lμ1 spaces
... universal series in the sense of convergence almost everywhere and on a ...everywhere trigonometric series were constructed by Menshov [6] and Kozlov ...The series of the ...
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6. On $L_{1}$ convergence of certain cosine sums
... authors introduced modified trigonometric sums as these sums approximate their limits better than the classical trigonometric series in the sense that they converge in L 1 -metric to the[r] ...
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A Cohen Type Inequality for Jacobi Sobolev Expansions
... Salto, “Relative asymptotics and Fourier series of orthogonal polynomials with a discrete Sobolev inner product,” Journal of Approximation Theory, vol.. Zygmund, Trigonometric Series.[r] ...
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Trigonometric identities
... stated only by Gauss in a slightly different form without a proof, are obtained and used in this paper in order to give some numeric applications of our new trigonometric identities... K[r] ...
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Degree of approximation of the conjugate of signals (functions) belonging to Lip(α,r) class by (C,1)(E,q) means of conjugate trigonometric Fourier series
... Recently, Nigam and Sharma [] have studied the degree of approximation of functions belonging to Lip(ξ (t), r)-class through (C, )(E, q) means of their Fourier series. In this paper, we use the (C, )(E, q) ...
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3. Approximation of function $f(x, y)$ belonging to generalized Lipschitz class by $(n, p_m, q_n)$ method of the double Fourier series
... Generalizing the result of Alexits [1], the degree of approximation by Voronoi- N¨ orlund means of a single variable function f ∈ Lipα is estimated by Siddiqi [10], Chandra [3] and Qureshi [8]. The similar problems, in ...
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Degree of Approximation of Functions in Lipschitz Class with Muckenhoupt Weights by Matrix Means
... [15] H. K. Nigam and K. Sharma, “Degree of Approxi- mation of a Class of Function by (C, 1)(E, q) Means of Fourier Series,” IAENG International Journal of Applied Mathematics, vol. 41, no. 2, pp. 1–5, 2007. [16] ...
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2. Approximation of functions by matrix-Euler summability means of Fourier series in generalized Holder metric
... Trigonometric approximation, Fourier series, ( E, 1) means, matrix summability means and (∆ .E 1)- summability means, generalized Minkowski’s inequality, gener- alized H¨ older metric.. [r] ...
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Applying trigonometric functions
... Scientific and graphics calculators can both be used to find trigonometric ratios of angles expressed in degrees or radians. It is important to check that the calculator is in the correct mode for the angle measure ...
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Inverse Trigonometric Functions
... that trigonometric functions are not one-one and onto over their natural domains and ranges and hence their inverses do not ...of trigonometric functions which ensure the existence of their inverses and ...
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Mean number of real zeros of a random hyperbolic polynomial
... Wilkins, Jr., Mean number of real zeros of a random trigonometric polynomial, Proc.. , Mean number of real zeros of a random trigonometric polynomial.[r] ...
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Some New Trigonometric α-Order Fuzzy Entropies
... This paper is organized as follows. In Section 2, some concepts and axioms of the fuzzy entropy and some fuzzy entropy measures, which are proposed by authors, are presented. We proposed several new α-order ...
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