This book is aimed toward graduate students and researchers in mathematics, physics and engineering interested in the latest developments in analytic inequalities, Hilbert-Type and Hardy-Type integral inequalities, and their applications. Theories, methods, and techniques of real analysis and functional analysis are applied to equivalent formulations of Hilbert-type inequalities, Hardy-type integral inequalities as well as their parameterized reverses. Special cases of these integral inequalities across an entire plane are considered and explained. Operator expressions with the norm and some particular analytic inequalities are detailed through several lemmas and theorems to provide an extensive account of inequalities and operators.
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1. Introduction.- 2.Equivalent Statements of Hilbert-type integral inequalities.- 3.Equivalent Statements of the Reverse Hilbert-Type Integral Inequalities.- 4. Equivalent Statements of Hardy-Type Integral Inequalities.- 5.Equivalent Property of the Reverse Hardy-Type Integral Inequalities.- References.
Ngôn ngữ Anh ● định dạng PDF ● Trang 145 ● ISBN 9783030292683 ● Kích thước tập tin 1.6 MB ● Nhà xuất bản Springer International Publishing ● Thành phố Cham ● Quốc gia CH ● Được phát hành 2019 ● Có thể tải xuống 24 tháng ● Tiền tệ EUR ● TÔI 7194605 ● Sao chép bảo vệ DRM xã hội
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