Nonlinearity: Ordinary and Fractional Approximations by Sublinear and Max-Product Operators

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The book delves into approximation theory, emphasizing both ordinary and fractional smoothness in univariate and multivariate contexts. It introduces innovative concepts such as approximations under convexity and the use of sublinear operators, particularly for max-product operators, which offer rapid and adaptable solutions. The findings have significant implications across various fields of pure and applied mathematics, making it an essential resource for researchers, graduate students, and academic seminars in approximation theory and numerical analysis.