A new method for refining the Shafer's equality and bounding the definite integrals
type: Item
instance of: scholarly article
title: A new method for refining the Shafer's equality and bounding the definite integrals
zbMATH Open document ID: 1393.26004
author: Xiao-Diao Chen
author: Song Jin
author: Li-Geng Chen
author: Yigang Wang
published in: Results in Mathematics
publication date: 2018-07-23T00:00:00Z
Mathematics Subject Classification ID: 26A09
Mathematics Subject Classification ID: 42A10
Mathematics Subject Classification ID: 26D99
zbMATH DE Number: 6909697
zbMATH Keywords: Shafer inequality
zbMATH Keywords: arctangent function
zbMATH Keywords: approximations and estimations
zbMATH Keywords: bounded bounds
zbMATH Keywords: definite integral
MaRDI profile type: Publication
full work available at URL: s00025-018-0836-3
OpenAlex ID: W2804667833
cites work: On approximation of continuous functions by trigonometric polynomials
cites work: On certain old and new trigonometric and hyperbolic inequalities
cites work: On Shafer and Carlson inequalities
cites work: Q4095322
cites work: Sharpening and generalizations of Shafer-Fink's double inequality for the arc sine function
cites work: A user-friendly method for computing indefinite integrals of oscillatory functions
cites work: One method for proving inequalities by computer
cites work: Hybrid function method and convergence analysis for two-dimensional nonlinear integral equations
cites work: Estimates for the arctangent function related to Shafer's inequality
cites work: New approximations of some expressions involving trigonometric functions
cites work: Sharpening and generalizations of Shafer's inequality for the arc sine function
cites work: Sharpening and generalizations of Shafer's inequality for the arc tangent function
cites work: Optimal quadrature formulas with positive coefficients in \(L_2^{(m)}(0, 1)\) space
cites work: Inequalities on generalized trigonometric and hyperbolic functions
cites work: On Shafer-Fink-type inequality
Wikidata QID: Q129812935
DOI: 10.1007/S00025-018-0836-3
description: scientific article; zbMATH DE number 6909697