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" Means in mathematical analysis : "
Gheorghe Toader, Iulia Costin.
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BL
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| Record Number
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872392
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| Main Entry
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Toader, Gheorghe
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| Title & Author
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Means in mathematical analysis : : bivariate means /\ Gheorghe Toader, Iulia Costin.
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| Publication Statement
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London :: Academic Press,, [2018]
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| Series Statement
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Mathematical analysis and its appllications
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| Page. NO
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1 online resource (xx, 204 pages)
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| ISBN
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0128110813
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: 9780128110812
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9780128110805
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Includes bibliographical references (pages 181-193) and index.
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| Contents
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2.1.3 Quasi-arithmetic means2.1.4 Other methods for the construction of means; 2.1.5 Comparison of means; 2.1.6 Weighted means; 2.1.7 Weak and angular inequalities; 2.1.8 Operations with means; 2.1.9 Universal means; 2.1.10 Invariant means; 2.2 Complementariness; 2.2.1 Complementary means; 2.2.2 Algebraic and topological structures on some set of means; 2.2.3 More about pre-means; 2.2.4 Complementary pre-means; 2.2.5 Partial derivatives of pre-means; 2.2.6 Series expansion of means; 2.2.7 Generalized inverses of means; 2.2.8 Complementariness with respect to power means
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2.2.9 Complementariness with respect to Lehmer means2.2.10 Complementariness with respect to Gini means; 2.2.11 Complementariness with respect to Stolarsky means; 2.2.12 Complementariness with respect to extended logarithmic means; 2.2.13 Complementariness with respect to the identric mean; 3 Double sequences; 3.1 Archimedean double sequences; 3.2 Determination of A-compound means; 3.3 Rate of convergence of an Archimedean double sequence; 3.4 Acceleration of the convergence; 3.5 Gaussian double sequences; 3.6 Determination of G-compound means
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3.7 Rate of convergence of a Gaussian double sequence3.8 Comparison of compound means; 3.9 The Schwab-Borchardt mean; 3.10 Seiffert-like means; 3.11 Double sequences with pre-means; 3.12 Other generalizations of double sequences; 4 Integral means; 4.1 The de nition of the integral mean; 4.2 A recurrence formula; 4.3 Gauss' functional equation; 4.4 Special integral means; 4.5 Comparison of integral means; 4.6 Integral pre-means; 4.7 Special pre-means; 4.8 Estimations of some integral means; Bibliography; List of Symbols; Subject Index; Author Index; Back Cover
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| Abstract
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Means in Mathematical Analysis addresses developments in global analysis, non-linear analysis, and the many problems of associated fields, including dynamical systems, ergodic theory, combinatorics, differential equations, approximation theory, analytic inequalities, functional equations and probability theory. The series comprises highly specialized research monographs written by eminent scientists, handbooks and selected multi-contributor reference works (edited volumes), bringing together an extensive body of information. It deals with the fundamental interplay of nonlinear analysis with other headline domains, particularly geometry and analytic number theory, within the mathematical sciences.
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| Subject
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Analysis of means.
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| Subject
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Mathematical analysis.
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Analysis of means.
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Mathematical analysis.
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MATHEMATICS-- Applied.
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| Subject
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MATHEMATICS-- Probability Statistics-- General.
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| Dewey Classification
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519.5
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| LC Classification
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QA279.T63 2018eb
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| Added Entry
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Costin, Iulia
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