Some new bounds for Sinc function by simultaneous approximation of the base and exponential functions
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Publication:2293243
DOI10.1007/s13398-020-00811-9zbMath1434.33003OpenAlexW3003841627WikidataQ115600904 ScholiaQ115600904MaRDI QIDQ2293243
Publication date: 7 February 2020
Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13398-020-00811-9
Inequalities for trigonometric functions and polynomials (26D05) Exponential and trigonometric functions (33B10)
Related Items (10)
New refinements of Becker-Stark and Cusa-Huygens inequalities via trigonometric polynomials method ⋮ Improved bounds of Mitrinović-Adamović-type inequalities by using two-parameter functions ⋮ Monotonicity of three kinds of functions involving the Gaussian hypergeometric function ⋮ Refinements of some classical inequalities involving sinc and hyperbolic sinc functions ⋮ Monotonous two-parameter functions for asymptoticly approximating the inequalities involving the inverse tangent functions ⋮ New bounds of sinc function by using a family of exponential functions ⋮ Tighter bounds for the inequalities of sinc function based on reparameterization ⋮ New bounds of Wilker- and Huygens-type inequalities for inverse trigonometric functions ⋮ Logarithmic convexity and increasing property of the Bernoulli numbers and their ratios ⋮ Approximation for modification of exponential type operators connected with \(x(x+1)^2\)
Cites Work
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- Padé approximant related to remarkable inequalities involving trigonometric functions
- A note on Jordan type inequalities for hyperbolic functions
- The best approximation of the sinc function by a polynomial of degree \(n\) with the square norm
- On Jordan type inequalities for hyperbolic functions
- An extended Jordan's inequality in exponential type
- Sharp Cusa type inequalities with two parameters and their applications
- Sharpening of Jordan's type and Shafer-Fink's type inequalities with exponential approximations
- A new method for refining the Shafer's equality and bounding the definite integrals
- A two-point-Padé-approximant-based method for bounding some trigonometric functions
- A source of inequalities for circular functions
- Six new Redheffer-type inequalities for circular and hyperbolic functions
- Sharpening Redheffer-type inequalities for circular functions
- Refinements, generalizations, and applications of Jordan's inequality and related problems
- New strengthened Jordan's inequality and its applications
- On Jordan's inequality
- A double inequality for the ratio of two non-zero neighbouring Bernoulli numbers
- A note on Jordan, Adamović-Mitrinović, and Cusa inequalities
- A sharp double inequality for trigonometric functions and its applications
- Sharp inequalities for trigonometric functions
- Approximating trigonometric functions by using exponential inequalities
- Three families of two-parameter means constructed by trigonometric functions
- Refinements of Jordan-Stečkin and Becker-Stark inequalities
- Sharp bounds for the ratio of two zeta functions
- Sharp inequalities of Mitrinovic-Adamovic type
- An unity of Mitrinovic-Adamovic and Cusa-Huygens inequalities and the analogue for hyperbolic functions
- New refinements and improvements of Jordan's inequality
- Sharpening Jordan's inequality and Yang Le inequality. II
- A new method for sharpening the bounds of several special functions
- A new generalized and sharp version of Jordan's inequality and its applications to the improvement of the Yang Le inequality
- A new refined form of Jordan's inequality and its applications
- A Sharp double inequality involving trigonometric functions and its applications
- Sharpened versions of Mitrinović-Adamović, Lazarević and Wilkers inequalities for trigonometric and hyperbolic functions
- On Jordan's, Redheffer's and Wilker's inequality
- Refinements of a two-sided inequality for trigonometric functions
- On Jordan's and Kober's inequality
- The natural approach of trigonometric inequalities - Padé approximant
- A new refined Jordan's inequality and its application
- Improvements of generalized Hölder's inequalities and their applications
- A proof of an open problem of Yusuke Nishizawa for a power-exponential function
- New trigonometric and hyperbolic inequalities
- Some inequalities constructed by Tchebysheff's integral inequality
- Sharp bounds for Seiffert mean in terms of weighted power means of arithmetic mean and geometric mean
- Some New Simple Inequalities Involving Exponential, Trigonometric and Hyperbolic Functions
- Some improvements of Jordan-Steckin and Becker-Stark inequalities
- The sharp inequalities related to Wilker type
- Sharpening of Jordan's inequalities and its applications
- A general form of Jordan's inequalities and its applications
- Analytic Inequalities
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