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Sachin Devaiya

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Papers by Sachin Devaiya

Research paper thumbnail of On approximation of functions, conjugate to the functions of several variables belonging to weighted Lipschitz and Zygmund classes

Hacettepe journal of mathematics and statistics, Apr 14, 2024

Research paper thumbnail of Approximation by double matrix means of bivariate functions belonging to weighted Lipschitz and Zygmund classes

Mathematical Methods in the Applied Sciences, Nov 26, 2023

Research paper thumbnail of Applications of <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow></mrow><annotation encoding="application/x-tex"></annotation></semantics></math></span><span class="katex-html" aria-hidden="true"></span></span>T^r$$-strongly convergent sequences to Fourier series by means of modulus functions

Acta mathematica Hungarica/Acta mathematica Academiae Scientiarum Hungaricae, Jan 31, 2024

Research paper thumbnail of Degree of Approximation of Functions, Conjugate to the Functions Belonging to <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow></mrow><annotation encoding="application/x-tex"></annotation></semantics></math></span><span class="katex-html" aria-hidden="true"></span></span>Lip((\xi _1,\xi _2); p)$$-Class Through Double Matrix Means

National Academy Science Letters

Research paper thumbnail of ON Tr-strong convergence of numerical sequences and Fourier series

Acta Mathematica Hungarica

[Research paper thumbnail of Uniform Approximation of Functions Belonging to <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow></mrow><annotation encoding="application/x-tex"></annotation></semantics></math></span><span class="katex-html" aria-hidden="true"></span></span>L[0,\infty )$$-Space Using <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow></mrow><annotation encoding="application/x-tex"></annotation></semantics></math></span><span class="katex-html" aria-hidden="true"></span></span>C^{\gamma }.T$$-Means of Fourier–Laguerre Series](https://a.academia-assets.com/images/blank-paper.jpg)

Springer proceedings in mathematics & statistics, 2023

Research paper thumbnail of Error estimation of signals (functions) belonging to class W (Lp, Ψ(t), β) for hump matrices

AIP Conference Proceedings, 2022

In this present work, we determine the error of approximation of functions, conjugate to the func... more In this present work, we determine the error of approximation of functions, conjugate to the functions belonging to W (L p , Ψ(t), β)−class using matrix means of its conjugate Fourier series for hump matrices. Further, few corollaries, resulting from theorems, have been presented.

Research paper thumbnail of Error of Approximation of Functions, Conjugate to the Functions Belonging to Weighted Lipschitz Class Using Matrix Means

A new function class W (L,Ψ(t), β) was initially introduced by Srivastava and Singh [Trigonometri... more A new function class W (L,Ψ(t), β) was initially introduced by Srivastava and Singh [Trigonometric approximation of periodic functions belonging to weighted Lipschitz class W (L,Ψ(t), β), Contemporary Mathematics, American Mathematical Society, 645 (2015) 283-291], which was a weighted version of Lip(ω(t), p)-class, with weight function sin(x/2), and authors obtained the error of approximation of functions belonging to this class by matrix means of its Fourier series. In this paper, we determine the error (degree) of approximation of conjugate functions belonging to this class using matrix means of its conjugate Fourier series. We also discuss some corollaries from our results.

Research paper thumbnail of On T2-Strong convergence of numerical sequences

AIP Conference Proceedings, 2022

Research paper thumbnail of On approximation of functions, conjugate to the functions of several variables belonging to weighted Lipschitz and Zygmund classes

Hacettepe journal of mathematics and statistics, Apr 14, 2024

Research paper thumbnail of Approximation by double matrix means of bivariate functions belonging to weighted Lipschitz and Zygmund classes

Mathematical Methods in the Applied Sciences, Nov 26, 2023

Research paper thumbnail of Applications of <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow></mrow><annotation encoding="application/x-tex"></annotation></semantics></math></span><span class="katex-html" aria-hidden="true"></span></span>T^r$$-strongly convergent sequences to Fourier series by means of modulus functions

Acta mathematica Hungarica/Acta mathematica Academiae Scientiarum Hungaricae, Jan 31, 2024

Research paper thumbnail of Degree of Approximation of Functions, Conjugate to the Functions Belonging to <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow></mrow><annotation encoding="application/x-tex"></annotation></semantics></math></span><span class="katex-html" aria-hidden="true"></span></span>Lip((\xi _1,\xi _2); p)$$-Class Through Double Matrix Means

National Academy Science Letters

Research paper thumbnail of ON Tr-strong convergence of numerical sequences and Fourier series

Acta Mathematica Hungarica

[Research paper thumbnail of Uniform Approximation of Functions Belonging to <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow></mrow><annotation encoding="application/x-tex"></annotation></semantics></math></span><span class="katex-html" aria-hidden="true"></span></span>L[0,\infty )$$-Space Using <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow></mrow><annotation encoding="application/x-tex"></annotation></semantics></math></span><span class="katex-html" aria-hidden="true"></span></span>C^{\gamma }.T$$-Means of Fourier–Laguerre Series](https://a.academia-assets.com/images/blank-paper.jpg)

Springer proceedings in mathematics & statistics, 2023

Research paper thumbnail of Error estimation of signals (functions) belonging to class W (Lp, Ψ(t), β) for hump matrices

AIP Conference Proceedings, 2022

In this present work, we determine the error of approximation of functions, conjugate to the func... more In this present work, we determine the error of approximation of functions, conjugate to the functions belonging to W (L p , Ψ(t), β)−class using matrix means of its conjugate Fourier series for hump matrices. Further, few corollaries, resulting from theorems, have been presented.

Research paper thumbnail of Error of Approximation of Functions, Conjugate to the Functions Belonging to Weighted Lipschitz Class Using Matrix Means

A new function class W (L,Ψ(t), β) was initially introduced by Srivastava and Singh [Trigonometri... more A new function class W (L,Ψ(t), β) was initially introduced by Srivastava and Singh [Trigonometric approximation of periodic functions belonging to weighted Lipschitz class W (L,Ψ(t), β), Contemporary Mathematics, American Mathematical Society, 645 (2015) 283-291], which was a weighted version of Lip(ω(t), p)-class, with weight function sin(x/2), and authors obtained the error of approximation of functions belonging to this class by matrix means of its Fourier series. In this paper, we determine the error (degree) of approximation of conjugate functions belonging to this class using matrix means of its conjugate Fourier series. We also discuss some corollaries from our results.

Research paper thumbnail of On T2-Strong convergence of numerical sequences

AIP Conference Proceedings, 2022

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