EN
AN INEQUALITY OF GRUSS LIKE VIA VARIANT OF POMPEIU'S MEAN VALUE THEOREM
Abstract
The main of this paper is to establish an integral inequality of Gruss type by using a mean value theorem.
Keywords
References
- [1] A. M. Acu, A. Babos 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.
- [2] P. L. Cebysev, Sur less expressions approximatives des integrales de nies par les autres prises entre les memes limites, Proc. Math. Soc. Charkov, 2, 93-98, 1882.
- [3] S.S. Dragomir, An inequality of Ostrowski type via Pompeiu's mean value theorem, J. of Inequal. in Pure and Appl. Math., 6(3) (2005), Art. 83.
- [4] G. Gruss, Uber das maximum des absoluten Betrages von 1; Math. Z., 39, 215-226, 1935.
- [5] I. Muntean, Extensions of some mean value theorems, Babes-Bolyai University, Faculty of Mathematics, Research Seminars on Mathematical Analysis, Preprint Nr. 7, 1991, 7-24.
- [6] B. G. Pachpatte, On Gruss like integral inequalities via Pompeiu's mean value theorem, J. of Inequal. in Pure and Appl. Math. 6(1995), Article 82, 1{5.
- [7] P.P Pecaric and S. Ungar, On an inequality of Gruss type, Mathematical Communications, 11(2006), 137-141.
- [8] E. C. Popa, An inequality of Ostrowski type via a mean value theorem, General Mathematics Vol. 15, No. 1, 2007, 93-100.
Details
Primary Language
English
Subjects
Engineering
Journal Section
Research Article
Publication Date
April 1, 2015
Submission Date
July 10, 2014
Acceptance Date
-
Published in Issue
Year 2015 Volume: 3 Number: 1
APA
Sarıkaya, M. Z., & Budak, H. (2015). AN INEQUALITY OF GRUSS LIKE VIA VARIANT OF POMPEIU’S MEAN VALUE THEOREM. Konuralp Journal of Mathematics, 3(1), 29-35. https://izlik.org/JA33PH82RH
AMA
1.Sarıkaya MZ, Budak H. AN INEQUALITY OF GRUSS LIKE VIA VARIANT OF POMPEIU’S MEAN VALUE THEOREM. Konuralp J. Math. 2015;3(1):29-35. https://izlik.org/JA33PH82RH
Chicago
Sarıkaya, Mehmet Zeki, and Hüseyin Budak. 2015. “AN INEQUALITY OF GRUSS LIKE VIA VARIANT OF POMPEIU’S MEAN VALUE THEOREM”. Konuralp Journal of Mathematics 3 (1): 29-35. https://izlik.org/JA33PH82RH.
EndNote
Sarıkaya MZ, Budak H (April 1, 2015) AN INEQUALITY OF GRUSS LIKE VIA VARIANT OF POMPEIU’S MEAN VALUE THEOREM. Konuralp Journal of Mathematics 3 1 29–35.
IEEE
[1]M. Z. Sarıkaya and H. Budak, “AN INEQUALITY OF GRUSS LIKE VIA VARIANT OF POMPEIU’S MEAN VALUE THEOREM”, Konuralp J. Math., vol. 3, no. 1, pp. 29–35, Apr. 2015, [Online]. Available: https://izlik.org/JA33PH82RH
ISNAD
Sarıkaya, Mehmet Zeki - Budak, Hüseyin. “AN INEQUALITY OF GRUSS LIKE VIA VARIANT OF POMPEIU’S MEAN VALUE THEOREM”. Konuralp Journal of Mathematics 3/1 (April 1, 2015): 29-35. https://izlik.org/JA33PH82RH.
JAMA
1.Sarıkaya MZ, Budak H. AN INEQUALITY OF GRUSS LIKE VIA VARIANT OF POMPEIU’S MEAN VALUE THEOREM. Konuralp J. Math. 2015;3:29–35.
MLA
Sarıkaya, Mehmet Zeki, and Hüseyin Budak. “AN INEQUALITY OF GRUSS LIKE VIA VARIANT OF POMPEIU’S MEAN VALUE THEOREM”. Konuralp Journal of Mathematics, vol. 3, no. 1, Apr. 2015, pp. 29-35, https://izlik.org/JA33PH82RH.
Vancouver
1.Mehmet Zeki Sarıkaya, Hüseyin Budak. AN INEQUALITY OF GRUSS LIKE VIA VARIANT OF POMPEIU’S MEAN VALUE THEOREM. Konuralp J. Math. [Internet]. 2015 Apr. 1;3(1):29-35. Available from: https://izlik.org/JA33PH82RH
