02623nmm a2200325 u 4500001001200000003002700012005001700039007002400056008004100080020001800121100002700139245012400166250001700290260005600307300003200363505078900395653003101184653002801215653003401243653003101277653002801308653002501336041001901361989003601380490004201416028003001458856007201488082001001560520072701570EB001345391EBX0100000000000000089958100000000000000.0cr|||||||||||||||||||||170203 ||| eng a97833195147581 aAnastassiou, George A.00aIntelligent Comparisons II: Operator Inequalities and ApproximationshElektronische Ressourcecby George A. Anastassiou a1st ed. 2017 aChambSpringer International Publishingc2017, 2017 aXII, 224 pbonline resource0 aPreface -- Self Adjoint Operator Korovkin type Quantitative Approximation Theory -- Self Adjoint Operator Korovkin and polynomial direct Approximations with rates -- Quantitative Self Adjoint Operator other Direct Approximations -- Fractional Self Adjoint Operator Poincare and Sobolev Inequalities -- Self Adjoint Operator Ostrowski Inequalities -- Integer and Fractional Self Adjoint Operator Opial Inequalities -- Self Adjoint Operator Chebyshev-Gruss Inequalities -- Ultra General Fractional Self Adjoint Operator Representation formulae and Operator Poincare and Sobolev and other basic Inequalities -- Harmonic Self Adjoint Operator Chebyshev-Gruss type Inequalities -- Ultra general Self Adjoint Operator Chebyshev-Gruss type Inequalities -- About a fractional Means inequality aComputational intelligence aArtificial Intelligence aApproximations and Expansions aComputational Intelligence aArtificial intelligence aApproximation theory07aeng2ISO 639-2 bSpringeraSpringer eBooks 2005-0 aStudies in Computational Intelligence50a10.1007/978-3-319-51475-840uhttps://doi.org/10.1007/978-3-319-51475-8?nosfx=yxVerlag3Volltext0 a006.3 aThis compact book focuses on self-adjoint operators’ well-known named inequalities and Korovkin approximation theory, both in a Hilbert space environment. It is the first book to study these aspects, and all chapters are self-contained and can be read independently. Further, each chapter includes an extensive list of references for further reading. The book’s results are expected to find applications in many areas of pure and applied mathematics. Given its concise format, it is especially suitable for use in related graduate classes and research projects. As such, the book offers a valuable resource for researchers and graduate students alike, as well as a key addition to all science and engineering libraries