| Description |
1 online resource (608 pages) |
| Contents |
2.2 Matrix means2.3 Matrix power mean; 2.4 Karcher mean; 3: Functional Equations on Affine Groups; 3.1 Introduction; 3.2 Semidirect products; 3.3 Linear groups; 3.4 Affine groups; 3.5 Invariant functions and measures; 3.6 Spherical functions and functional equations; 3.7 Functional equations on Euclidean motion groups; 3.8 Affine groups of generalized orthogonal groups; 4: Locally Pseudoconvex Spaces and Algebras; 4.1 Brief introduction; 4.1.1 Linear spaces; 4.1.2 Topological spaces; 4.2 Topological linear spaces; 4.2.1 Topological algebras |
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4.3 Topology of a linear space and an algebra, defined by a collection of F-seminorms4.4 Locally pseudoconvex spaces and algebras; 4.4.1 Saturation of a collection of seminorms; 4.5 Locally bounded space and algebra; 4.6 Main types of locally pseudoconvex algebras; 4.7 Generalizations of Gelfand-Mazur theorem for locally pseudoconvex division algebras; 4.8 Generalizations of Arens-Michael theorem for locally pseudoconvex algebras; 4.9 Generalization of Akkar teorem for locally pseudoconvex algebras; 5: Applications of Singular Integral Operators and Commutators; 5.1 Introduction |
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5.2 BMO class5.3 VMO class; 5.4 Morrey-Campanato spaces; 5.5 Generalized Morrey spaces; 5.6 Mixed Morrey spaces; 5.7 Applications to partial differential equations; 5.7.1 Elliptic equations; 5.7.1.1 Preliminary tools; 5.7.1.2 Nondivergence form elliptic equations; 5.7.1.3 Representation formula; 5.7.1.4 Regularity; 5.7.1.5 Divergence form elliptic equations; 5.7.2 Parabolic equations; 5.7.2.1 Preliminary tools; 5.7.2.2 Nondivergence form parabolic equations; 5.7.2.3 Divergence form parabolic equations; 5.7.3 Ultraparabolic equations; 5.7.3.1 Preliminary tools |
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5.7.3.2 Nondivergence form ultraparabolic equations5.7.3.3 Divergence form ultraparabolic equations; 6: Composite Submeasures and Supermeasures with Applications to Classical Inequalities; 6.1 Introduction; 6.2 Some composite functionals; 6.3 Applications for Jensen's inequality; 6.4 Applications for Hölder's inequality; 6.5 Applications for Minkowski's inequality; 6.6 Applications for Cauchy-Bunyakovsky-Schwarz's inequality; 6.7 Applications for Čebyšev's inequality; 6.8 Applications for Hermite-Hadamard inequalities; 6.9 Applications for convex functions |
| Notes |
7: Generalized Double Statistical Weighted Summability and Its Application to Korovkin Type Approximation Theorem |
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Print version record |
| Subject |
Mathematical analysis -- Study and teaching
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Mathematical analysis -- Study and teaching
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| Form |
Electronic book
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| Author |
Dutta, Hemen
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| ISBN |
9781351142113 |
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1351142119 |
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