Exponential Pompeiu's type inequalities with applications to Ostrowski's inequality
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Abstract
In this paper, some exponential Pompeius type inequalities forcomplex-valued absolutely continuous functions are provided. They are applied to obtain some new Ostrowski type inequalities.
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Dragomir, S.
(2015).
Exponential Pompeiu's type inequalities with applications to Ostrowski's inequality.
Acta Mathematica Universitatis Comenianae, 84(1), 39-50.
Retrieved from http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/amuc/article/view/34/124
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References
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[2] A. M. Acu, A. Babo¸s and F. D. Sofonea, The mean value theorems and inequalities of Ostrowski type. Sci. Stud. Res. Ser. Math. Inform. 21 (2011), no. 1, 5-16.
[3] S. S. Dragomir, An inequality of Ostrowski type via Pompeius mean value theorem. J. Inequal. Pure Appl. Math. 6 (2005), no. 3, Article 83, 9 pp.
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[7] E. C. Popa, An inequality of Ostrowski type via a mean value theorem, General Mathematics Vol. 15, No. 1, 2007, 93-100.
[8] P. K. Sahoo and T. Riedel, Mean Value Theorems and Functional Equations, World Scienti c,
Singapore, New Jersey, London, Hong Kong, 2000.
[2] A. M. Acu, A. Babo¸s and F. D. Sofonea, The mean value theorems and inequalities of Ostrowski type. Sci. Stud. Res. Ser. Math. Inform. 21 (2011), no. 1, 5-16.
[3] S. S. Dragomir, An inequality of Ostrowski type via Pompeius mean value theorem. J. Inequal. Pure Appl. Math. 6 (2005), no. 3, Article 83, 9 pp.
[4] A. Ostrowski, Über die Absolutabweichung einer di¤erentienbaren Funktionen von ihren Integral mittelwert, Comment. Math. Hel, 10 (1938), 226-227.
[5] J. Peµcari´c and . Ungar, On an inequality of Ostrowski type, J. Ineq. Pure & Appl. Math. 7 (2006). No. 4. Art. 1-51.
[6] D. Pompeiu, Sur une proposition analogue au théorème des accroissements nis, Mathematica (Cluj, Romania), 22(1946), 143-146.
[7] E. C. Popa, An inequality of Ostrowski type via a mean value theorem, General Mathematics Vol. 15, No. 1, 2007, 93-100.
[8] P. K. Sahoo and T. Riedel, Mean Value Theorems and Functional Equations, World Scienti c,
Singapore, New Jersey, London, Hong Kong, 2000.