Fractional Differentiation Inequalities

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The book explores various fractional differentiation inequalities, including those by Opial, Poincaré, Sobolev, Hilbert, and Ostrowski, using Canavati, Riemann-Liouville, and Caputo fractional derivatives. It covers both univariate and multivariate cases, with each chapter designed to be self-contained. The systematic presentation of theory is complemented by practical applications, notably in the field of information theory, making it a comprehensive resource for understanding these mathematical concepts.