LEADER 04555nam 22006735 450 001 9910484147803321 005 20200703130813.0 010 $a3-030-37904-3 024 7 $a10.1007/978-3-030-37904-9 035 $a(CKB)4100000010660906 035 $a(DE-He213)978-3-030-37904-9 035 $a(MiAaPQ)EBC6133717 035 $a(PPN)243228813 035 $a(EXLCZ)994100000010660906 100 $a20200311d2020 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aTrigonometric Sums and Their Applications /$fedited by Andrei Raigorodskii, Michael Th. Rassias 205 $a1st ed. 2020. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2020. 215 $a1 online resource (X, 311 p. 4 illus., 3 illus. in color.) 311 $a3-030-37903-5 327 $aOn 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. 330 $aThis 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. 606 $aDifference equations 606 $aFunctional equations 606 $aHarmonic analysis 606 $aFunctional analysis 606 $aFunctions of complex variables 606 $aFunctions of real variables 606 $aDifference and Functional Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12031 606 $aAbstract Harmonic Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12015 606 $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066 606 $aFunctions of a Complex Variable$3https://scigraph.springernature.com/ontologies/product-market-codes/M12074 606 $aReal Functions$3https://scigraph.springernature.com/ontologies/product-market-codes/M12171 615 0$aDifference equations. 615 0$aFunctional equations. 615 0$aHarmonic analysis. 615 0$aFunctional analysis. 615 0$aFunctions of complex variables. 615 0$aFunctions of real variables. 615 14$aDifference and Functional Equations. 615 24$aAbstract Harmonic Analysis. 615 24$aFunctional Analysis. 615 24$aFunctions of a Complex Variable. 615 24$aReal Functions. 676 $a512.7 702 $aRaigorodskii$b Andrei$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aRassias$b Michael Th$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910484147803321 996 $aTrigonometric Sums and Their Applications$92310994 997 $aUNINA