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A GENERALIZATION OF ALZER INEQUALITY RELATED TO EXPONENTIAL FUNCTION

L. Ying|W-Y Cui
장전수학회 (Jangjeon Mathematical Society)|2015.07|Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) (Proceedings of the Jangjeon Mathematical Society)|제18권 제3호|pp. 385-388|DOI 10.17777/pjms.2015.18.3.014

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참고문헌

키워드

Monotonicityexponential functionMaclaurin Seriesremainderinequalities
주제분류수학

초록

In this paper, we show a generalization of Alzer inequality related to exponential function, and generalize to the remainder of Maclaurin series. Finally, we give an example.

Abstract

In this paper, we show a generalization of Alzer inequality related to exponential function, and generalize to the remainder of Maclaurin series. Finally, we give an example.

참고문헌 (8)

  1. H. Alzer, "An inequality for the exponential function", Arch. Math., 55, pp.462~464 (1990)
  2. K. Dilcher, "An inequality for sections ofcertain power series", Arch. Math., 60, pp.339~349 (1993)
  3. P. K. Menon, "Some integral inequalities", Math. Student., 11, pp.36~38 (1943)
  4. M. Merkle, "Some inequalities for the chisquare distribution function and the exponential func-tion", Arch. Math., 60, pp.451~458 (1993)
  5. "Proofs of some conjectures on monotonicity of ratios of Kum-mer, Gauss and generalized hypergeometric functions"[URL]
  6. M. Merkle, "An inequality for residual of Maclaurin expansion", Arch. Math., 66, pp.194~196 (1996)
  7. S. Ponnusamy, "Asympotic expansion and inequalities for hypergeometric functions", Mathematika, 44, pp.278~301 (1997)
  8. "Conjectures on monotonicity of ratios of Kummer and Gauss hypergeometric functions"[URL]

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