Research Article

SOME RL-INTEGRAL INEQUALITIES FOR THE WEIGHTED AND THE EXTENDED CHEBYSHEV FUNCTIONALS

Volume: 5 Number: 1 April 1, 2017
EN

SOME RL-INTEGRAL INEQUALITIES FOR THE WEIGHTED AND THE EXTENDED CHEBYSHEV FUNCTIONALS

Abstract

In this paper, we use the Riemann-Liouville fractional integrals to establish some new integral inequalities related to the weighted and the extended Chebyshev functionals. Some classical results are also presented.

Keywords

References

  1. [1] S. Belarbi, Z. Dahmani, On some new fractional integral inequalities. JIPAM Vol:10, No.3, (2009), 1-9.
  2. [2] P.L. Chebyshev, Sur les expressions approximatives des integrales de nis par les autres prises entre les memes limite. Proc. Math. Soc. Charkov, 2, (1882), 93-98.
  3. [3] Z. Dahmani, New inequalities in fractional integrals. International Journal of Nonlinear Sciences, Vol:9, No.4 (2010), 493-497.
  4. [4] Z. Dahmani, About some integral inequalities using Riemann-Liouville integrals. General Mathematics. Vol:20, No.4 (2012), 63-69.
  5. [5] Z. Dahmani, O. Mechouar, S. Brahami, Certain inequalities related to the Chebyshev's functional involving Riemann-Liouville operator. Bulletin of Mathematical Analysis and Applications Vol:3, No.4 (2011), 38-44.
  6. [6] Z. Dahmani, L. Tabharit, On weighted Gruss type inequalities via fractional integrals, JARPM, Journal of Advanced Research in Pure Mathematics, Vol:2, No.4 (2010), 31-38.
  7. [7] S.S. Dragomir, A generalization of Gruss inequality in inner product spaces and applications. J. Math. Annal. Appl.,Vol:273, No.1 (1999), 74-82.
  8. [8] N. Elezovic, L. Marangunic, G. Pecaric, Some improvements of Gruss type inequality. JMI Vol:1, No.3 (2007), 425-436.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

ZOUBIR Dahmanı
Laboratory LPAM, Faculty SEI, UMAB University
Algeria

AMINA Khamelı This is me
Laboratory LPAM, Faculty SEI, UMAB University
Algeria

KARIMA Freha This is me
Laboratory LPAM, Faculty SEI, UMAB University
Algeria

Publication Date

April 1, 2017

Submission Date

February 15, 2017

Acceptance Date

July 24, 2016

Published in Issue

Year 2017 Volume: 5 Number: 1

APA
Dahmanı, Z., Khamelı, A., & Freha, K. (2017). SOME RL-INTEGRAL INEQUALITIES FOR THE WEIGHTED AND THE EXTENDED CHEBYSHEV FUNCTIONALS. Konuralp Journal of Mathematics, 5(1), 43-48. https://izlik.org/JA27XF85NT
AMA
1.Dahmanı Z, Khamelı A, Freha K. SOME RL-INTEGRAL INEQUALITIES FOR THE WEIGHTED AND THE EXTENDED CHEBYSHEV FUNCTIONALS. Konuralp J. Math. 2017;5(1):43-48. https://izlik.org/JA27XF85NT
Chicago
Dahmanı, ZOUBIR, AMINA Khamelı, and KARIMA Freha. 2017. “SOME RL-INTEGRAL INEQUALITIES FOR THE WEIGHTED AND THE EXTENDED CHEBYSHEV FUNCTIONALS”. Konuralp Journal of Mathematics 5 (1): 43-48. https://izlik.org/JA27XF85NT.
EndNote
Dahmanı Z, Khamelı A, Freha K (April 1, 2017) SOME RL-INTEGRAL INEQUALITIES FOR THE WEIGHTED AND THE EXTENDED CHEBYSHEV FUNCTIONALS. Konuralp Journal of Mathematics 5 1 43–48.
IEEE
[1]Z. Dahmanı, A. Khamelı, and K. Freha, “SOME RL-INTEGRAL INEQUALITIES FOR THE WEIGHTED AND THE EXTENDED CHEBYSHEV FUNCTIONALS”, Konuralp J. Math., vol. 5, no. 1, pp. 43–48, Apr. 2017, [Online]. Available: https://izlik.org/JA27XF85NT
ISNAD
Dahmanı, ZOUBIR - Khamelı, AMINA - Freha, KARIMA. “SOME RL-INTEGRAL INEQUALITIES FOR THE WEIGHTED AND THE EXTENDED CHEBYSHEV FUNCTIONALS”. Konuralp Journal of Mathematics 5/1 (April 1, 2017): 43-48. https://izlik.org/JA27XF85NT.
JAMA
1.Dahmanı Z, Khamelı A, Freha K. SOME RL-INTEGRAL INEQUALITIES FOR THE WEIGHTED AND THE EXTENDED CHEBYSHEV FUNCTIONALS. Konuralp J. Math. 2017;5:43–48.
MLA
Dahmanı, ZOUBIR, et al. “SOME RL-INTEGRAL INEQUALITIES FOR THE WEIGHTED AND THE EXTENDED CHEBYSHEV FUNCTIONALS”. Konuralp Journal of Mathematics, vol. 5, no. 1, Apr. 2017, pp. 43-48, https://izlik.org/JA27XF85NT.
Vancouver
1.ZOUBIR Dahmanı, AMINA Khamelı, KARIMA Freha. SOME RL-INTEGRAL INEQUALITIES FOR THE WEIGHTED AND THE EXTENDED CHEBYSHEV FUNCTIONALS. Konuralp J. Math. [Internet]. 2017 Apr. 1;5(1):43-8. Available from: https://izlik.org/JA27XF85NT
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