The relationship between Huygens’ and Wilker’s inequalities and further remarks. (English) Zbl 1524.26026
MSC:
26D05
Found 42 Documents (Results 1–42)
Applications of a duality between generalized trigonometric and hyperbolic functions. II. (English) Zbl 1529.33003
Series representations of the remainders in the expansions for certain trigonometric functions and some related inequalities. II. (English) Zbl 1506.11035
Wilker and Huygens type inequalities for mixed trigonometric-hyperbolic functions. (English) Zbl 1496.26015
Reviewer: Sanja Varošanec (Zagreb)
New bounds of Wilker- and Huygens-type inequalities for inverse trigonometric functions. (English) Zbl 1473.26014
Reviewer: James Adedayo Oguntuase (Abeokuta)
Inequalities for generalized trigonometric and hyperbolic functions with one parameter. (English) Zbl 1437.26016
A two-point-Padé-approximant-based method for bounding some trigonometric functions. (English) Zbl 1498.26026
Some Wilker and Cusa type inequalities for generalized trigonometric and hyperbolic functions. (English) Zbl 1497.26016
Turán type inequalities for classical and generalized Mittag-Leffler functions. (English) Zbl 1438.33033
Wilker and Huygens-type inequalities involving Gudermannian and the inverse Gudermannian functions. (English) Zbl 1384.26042
Functional inequalities for the Wright functions. (English) Zbl 1364.33010
Reviewer: Thomas Ernst (Uppsala)
New approximations of some expressions involving trigonometric functions. (English) Zbl 1410.26025
MSC:
26D05
Sharp Wilker and Huygens type inequalities for trigonometric and hyperbolic functions. (English) Zbl 1358.26018
Some properties of the generalized Jacobian elliptic functions. III. (English) Zbl 1414.33021
Reviewer: Árpád Baricz (Odorheiu Secuiesc)
Necessary and sufficient conditions for the two parameter generalized Wilker-type inequalities. (English) Zbl 1351.26032
Sharpened versions of Mitrinović-Adamović, Lazarević and Wilker’s inequalities for trigonometric and hyperbolic functions. (English) Zbl 1345.26024
Several improvements of Mitrinović-Adamović and Lazarević’s inequalities with applications to the sharpening of Wilker-type inequalities. (English) Zbl 1331.26023
Extended constant parts of Wilker types and Cusa-Huygens types inequalities. (English) Zbl 1339.33002
Inequalities for the generalized trigonometric and hyperbolic functions. (English) Zbl 1306.33013
MSC:
33C20
Wilker- and Huygens-type inequalities and solution to Oppenheim’s problem. (English) Zbl 1254.26022
Reviewer: Constantin Niculescu (Craiova)
A source of inequalities for circular functions. (English) Zbl 1189.26029
MSC:
26D05
On extension and refinement of Wilker’s inequality. (English) Zbl 1172.26008
Reviewer: James Adedayo Oguntuase (Abeokuta)
MSC:
26D15
Extensions of the generalized Wilker inequality to Bessel functions. (English) Zbl 1171.33303
Reviewer: Per W. Karlsson (Lyngby)
Proofs of Wilker’s inequalities involving trigonometric functions. (English) Zbl 1064.26009
Cho, Yeol Je (ed.) et al., Inequality theory and applications. Vol. 2. Papers from the 7th international conference on nonlinear functional analysis and applications, Gyeongsang National University, Chinju, Korea and at Kyungnam University, Masan, Korea, August 6–10, 2001. Hauppauge, NY: Nova Science Publishers (ISBN 1-59033-866-9/hbk ). 109-112 (2003).
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