A refinement of the Becker-Stark inequalities

DOI10.1134/S0001434613030085zbMath1335.26004MaRDI QIDQ351629

Ling Zhu

Publication date: 8 July 2013

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

upper and lower boundsBernoulli numberspower series expansionRiemann's zeta functionBecker-Stark inequalities

Mathematics Subject Classification ID

Approximation by rational functions (41A20) Inequalities for trigonometric functions and polynomials (26D05) Real rational functions (26C15)

Related Items (16)

New bounds for the exponential function with cotangent ⋮ A two-point-Padé-approximant-based method for bounding some trigonometric functions ⋮ New refinements of Becker-Stark and Cusa-Huygens inequalities via trigonometric polynomials method ⋮ Sharp refined quadratic estimations of Shafer's inequalities ⋮ Sharp Redheffer-type and Becker-Stark-type inequalities with an application ⋮ A note on the Becker-Stark type inequalities ⋮ Sharp exponential approximate inequalities for trigonometric functions ⋮ Monotonicities of some functions involving multiple logarithm function and their applications ⋮ Sharp Becker-Stark's type inequalities with power exponential functions ⋮ Refined quadratic estimations of Shafer's inequality ⋮ New bounds of Wilker- and Huygens-type inequalities for inverse trigonometric functions ⋮ New bounds for the ratio of two adjacent even-indexed Bernoulli numbers ⋮ Sharpness and generalization of Jordan, Becker-Stark and Papenfuss inequalities with an application ⋮ Approximating trigonometric functions by using exponential inequalities ⋮ A family of Wilker's inequalities in two parameters and its applications ⋮ Generalizations and refinements of Stečkin-type inequality for tangent and secant functions

Cites Work

• Generalized elliptic integrals and modular equations
• Inequalities for quasiconformal mappings in space
• L'Hospital Rules for Monotonicity and the Wilker-Anglesio Inequality
• Analytic Inequalities
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