×

On Shafer-Fink-type inequality. (English) Zbl 1133.26303

Summary: A new simple proof of Shafer-Fink-type inequality proposed by Malešević is given.

MSC:

26D05 Inequalities for trigonometric functions and polynomials

References:

[1] Mitrinović DS: Analytic Inequalities, Die Grundlehren der Mathematischen Wisenschaften, Band 165. Springer, New York, NY, USA; 1970:xii+400. · Zbl 0199.38101
[2] Fink AM: Two inequalities.Univerzitet u Beogradu. Publikacije Elektrotehničkog Fakulteta 1995, 6: 48-49. · Zbl 0841.26009
[3] Zhu L: On Shafer-Fink inequalities.Mathematical Inequalities & Applications 2005,8(4):571-574. · Zbl 1084.26007 · doi:10.7153/mia-08-53
[4] Zhu L: A solution of a problem of Oppeheim.Mathematical Inequalities & Applications 2007,10(1):57-61. · Zbl 1115.26009 · doi:10.7153/mia-10-07
[5] Malešević BJ: One method for proving inequalities by computer.Journal of Inequalities and Applications 2007, 2007: 8. · Zbl 1133.26320
[6] Malešević BJ: An application of-method on inequalities of Shafer-Fink’s type. to appear in Mathematical Inequalities & Applications to appear in Mathematical Inequalities & Applications · Zbl 1127.26010
[7] Malešević BJ: Some improvements of one method for proving inequalities by computer. preprint, 2007, http://arxiv.org/abs/math/0701020 preprint, 2007, · Zbl 1133.26320
[8] Anderson GD, Vamanamurthy MK, Vuorinen MK: Conformal Invariants, Inequalities, and Quasiconformal Maps, Canadian Mathematical Society Series of Monographs and Advanced Texts. John Wiley & Sons, New York, NY, USA; 1997:xxviii+505. · Zbl 0885.30012
[9] Anderson GD, Qiu S-L, Vamanamurthy MK, Vuorinen M: Generalized elliptic integrals and modular equations.Pacific Journal of Mathematics 2000,192(1):1-37. 10.2140/pjm.2000.192.1 · Zbl 0951.33012 · doi:10.2140/pjm.2000.192.1
[10] Pinelis I: L’hospital type results for monotonicity, with applications.Journal of Inequalities in Pure and Applied Mathematics 2002,3(1, Article 5):5. · Zbl 0989.26005
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.