In this paper, a constructive theory is developed for approximating func- tions of one or more variables by superposition of sigmoidal functions. This is done in the uniform norm as well as in the L p norm. Results for the simultaneous approx- imation, with the same order of accuracy, of a function and its derivatives…
Analysis in Theory and Applications Template
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About the Analysis in Theory and Applications format
Analysis in Theory and Applications is a peer-reviewed journal published by Springer Nature, covering Advanced Harmonic Analysis Research, Approximation Theory and Sequence Spaces, Differential Equations and Boundary Problems.
| Publisher | Springer Nature |
|---|---|
| Reference style | Superscript numbered (Nature) Superscript — small raised numerals in the text 1. Smith, A., Jones, B. & Lee, C. A representative article title. Analysis in Theory and Applications 12, 45–58 (2023).
Formats any DOI in Analysis in Theory and Applications style. No sign-up. |
| Publishes research in | Advanced Harmonic Analysis Research Approximation Theory and Sequence Spaces Differential Equations and Boundary Problems Mathematical Analysis and Transform Methods Holomorphic and Operator Theory |
| ISSN | 1573-8175 |
| Citation impact (2-yr) | 0.06 |
| h-index | 16 |
| i10-index | 44 |
| Total citations | 1,898 |
| Open access | Yes |
| Top institutions publishing here | Nanjing University |
| You get | A submission-ready PDF and the editable LaTeX source — ready to submit. |
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Most-cited papers in Analysis in Theory and Applications
In this article we introduce the paranormed sequence spaces $( f ,\Lambda, \Delta_m, p)$, $c_0( f ,\Lambda, \Delta_m, p)$ and $l_\infty( f ,\Lambda, \Delta_m, p)$, associated with the multiplier sequence $\Lambda = (\lambda_k)$, defined by a modulus function $ f$. We study their different properties like solidness, symmetricity, completeness etc. and prove some inclusion results.
The current paper considers the problem of recovering a function using a limited number of its Fourier coefficients. Specifically, a method based on Bernoulli-like polynomials suggested and developed by Krylov, Lanczos, Gottlieb and Eckhoff is examined. Asymptotic behavior of approximate calculation of the so-called “jumps” is studied and asymptotic L 2 constants of the rate…
The (Nörlund) logarithmic means of the Fourier series is: $$ t_n f = \frac{1} {{l_n }}\sum\limits_{k = 1}^{n - 1} {\frac{{S_k f}} {{n - k}}} , where l_n = \sum\limits_{k = 1}^{n - 1} {\frac{1} {k}} $$ . In general, the Fejér (C,1) means have better properties than the logarithmic ones. We compare them and…
We present lower and upper bounds for the box dimension of the graphs of certain nonaffine fractal interpolation functions by generalizing the results that hold for the affine case.