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Trigonometric sums and their applica...

Raigorodskii, Andrei.

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Trigonometric sums and their applications

Record Type:	Electronic resources : Monograph/item
Title/Author:	Trigonometric sums and their applications/ edited by Andrei Raigorodskii, Michael Th. Rassias.
other author:	Raigorodskii, Andrei.
Published:	Cham :Springer International Publishing : : 2020.,
Description:	x, 311 p. :ill., digital ;24 cm.
[NT 15003449]:	On a category of cotangent sums related to the Nyman-Beurling criterion for the Riemann Hypothesis -- Recent Progress in the study of polynomials with constrained coefficients -- Classes of Nonnegative Sine -- Inequalities for weighted trigonometric sums -- Norm Inequalities for Generalized Laplace Transforms -- On Marcinkiewicz-Zygmund Inequalities at Hermite Zeros and their Airy Function Cousins -- The maximum of cotangent sums related to the Nyman-Beurling criterion for the Riemann Hypothesis -- Double-sided Taylor's approximations and their applications in theory of trigonometric inequalities -- Double-sided Taylor's approximations and their applications in theory of trigonometric inequalities -- The second moment of the first derivative of Hardy's Z-function -- Dedekind and Hardy Type Sums and Trigonometric Sums Induced by Quadrature Formulas -- On a Half-Discrete Hilbert-Type Inequality in the Whole Plane with the Kernel of Hyperbolic Secant Function Related to the Hurwitz Zeta Function -- A remark on sets with small Wiener norm -- Order estimates of best orthogonal trigonometric approximations of classes of infinitely differentiable functions -- Equivalent Conditions of a Reverse Hilbert-Type Integral Inequality with the Kernel of Hyperbolic Cotangent Function Related to the Riemann zeta Function.
Contained By:	Springer eBooks
Subject:	Trigonometric sums. -
Online resource:	https://doi.org/10.1007/978-3-030-37904-9
ISBN:	9783030379049

Trigonometric sums and their applications
Trigonometric sums and their applications[electronic resource] /edited by Andrei Raigorodskii, Michael Th. Rassias. - Cham :Springer International Publishing :2020. - x, 311 p. :ill., digital ;24 cm.

On a category of cotangent sums related to the Nyman-Beurling criterion for the Riemann Hypothesis -- Recent Progress in the study of polynomials with constrained coefficients -- Classes of Nonnegative Sine -- Inequalities for weighted trigonometric sums -- Norm Inequalities for Generalized Laplace Transforms -- On Marcinkiewicz-Zygmund Inequalities at Hermite Zeros and their Airy Function Cousins -- The maximum of cotangent sums related to the Nyman-Beurling criterion for the Riemann Hypothesis -- Double-sided Taylor's approximations and their applications in theory of trigonometric inequalities -- Double-sided Taylor's approximations and their applications in theory of trigonometric inequalities -- The second moment of the first derivative of Hardy's Z-function -- Dedekind and Hardy Type Sums and Trigonometric Sums Induced by Quadrature Formulas -- On a Half-Discrete Hilbert-Type Inequality in the Whole Plane with the Kernel of Hyperbolic Secant Function Related to the Hurwitz Zeta Function -- A remark on sets with small Wiener norm -- Order estimates of best orthogonal trigonometric approximations of classes of infinitely differentiable functions -- Equivalent Conditions of a Reverse Hilbert-Type Integral Inequality with the Kernel of Hyperbolic Cotangent Function Related to the Riemann zeta Function.

This volume presents in a unified manner both classic as well as modern research results devoted to trigonometric sums. Such sums play an integral role in the formulation and understanding of a broad spectrum of problems which range over surprisingly many and different research areas. Fundamental and new developments are presented to discern solutions to problems across several scientific disciplines. Graduate students and researchers will find within this book numerous examples and a plethora of results related to trigonometric sums through pure and applied research along with open problems and new directions for future research.

ISBN: 9783030379049

Standard No.: 10.1007/978-3-030-37904-9doiSubjects--Topical Terms:

631757
Trigonometric sums.

LC Class. No.: QA246.8.T75 / T754 2020

Dewey Class. No.: 512.7

Trigonometric sums and their applications
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245 0 0 $a Trigonometric sums and their applications $h [electronic resource] / $c edited by Andrei Raigorodskii, Michael Th. Rassias.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2020.
300 $a x, 311 p. : $b ill., digital ; $c 24 cm.
505 0 $a On a category of cotangent sums related to the Nyman-Beurling criterion for the Riemann Hypothesis -- Recent Progress in the study of polynomials with constrained coefficients -- Classes of Nonnegative Sine -- Inequalities for weighted trigonometric sums -- Norm Inequalities for Generalized Laplace Transforms -- On Marcinkiewicz-Zygmund Inequalities at Hermite Zeros and their Airy Function Cousins -- The maximum of cotangent sums related to the Nyman-Beurling criterion for the Riemann Hypothesis -- Double-sided Taylor's approximations and their applications in theory of trigonometric inequalities -- Double-sided Taylor's approximations and their applications in theory of trigonometric inequalities -- The second moment of the first derivative of Hardy's Z-function -- Dedekind and Hardy Type Sums and Trigonometric Sums Induced by Quadrature Formulas -- On a Half-Discrete Hilbert-Type Inequality in the Whole Plane with the Kernel of Hyperbolic Secant Function Related to the Hurwitz Zeta Function -- A remark on sets with small Wiener norm -- Order estimates of best orthogonal trigonometric approximations of classes of infinitely differentiable functions -- Equivalent Conditions of a Reverse Hilbert-Type Integral Inequality with the Kernel of Hyperbolic Cotangent Function Related to the Riemann zeta Function.
520 $a This volume presents in a unified manner both classic as well as modern research results devoted to trigonometric sums. Such sums play an integral role in the formulation and understanding of a broad spectrum of problems which range over surprisingly many and different research areas. Fundamental and new developments are presented to discern solutions to problems across several scientific disciplines. Graduate students and researchers will find within this book numerous examples and a plethora of results related to trigonometric sums through pure and applied research along with open problems and new directions for future research.
650 0 $a Trigonometric sums. $3 631757
650 1 4 $a Difference and Functional Equations. $3 897290
650 2 4 $a Abstract Harmonic Analysis. $3 891093
650 2 4 $a Functional Analysis. $3 893943
650 2 4 $a Functions of a Complex Variable. $3 897310
650 2 4 $a Real Functions. $3 891265
700 1 $a Raigorodskii, Andrei. $3 3331975
700 1 $a Rassias, Michael Th. $3 2059563
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
856 4 0 $u https://doi.org/10.1007/978-3-030-37904-9
950 $a Mathematics and Statistics (Springer-11649)