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q-Bernoulli inequality

Year 2018, Volume: 3 Issue: 1, 32 - 39, 31.12.2018

Mohammad Alomarı

Abstract

In this work, the q-analogue of Bernoulli inequality is proved. Some other related results are presented.

Keywords

q-Bernoulli inequality Bernoulli inequality q-Calculus Combinatorial inequalities

References

  • H. Gauchman, Integral inequalities in q-calculus, Computers and Mathematics with Applications,47 2004, 281-300.
  • V.G. Kac and P. Cheeung, Quantum calculus, Universitext, Springer-Verlag, New York, (2002).
  • D.S. Mitrinovic, J. Pecaric and A.M. Fink, Classical and New Inequalities in Analysis, Kluwer Academic, Dordrecht, 1993.
  • P.M. Rajkovic, M.S. Stankovic and S.D. Marinkovic, Mean value theorems in q-calculus, MatematickiVesnik, 54 2002, 171-178.

Year 2018, Volume: 3 Issue: 1, 32 - 39, 31.12.2018

Mohammad Alomarı

Abstract

References

  • H. Gauchman, Integral inequalities in q-calculus, Computers and Mathematics with Applications,47 2004, 281-300.
  • V.G. Kac and P. Cheeung, Quantum calculus, Universitext, Springer-Verlag, New York, (2002).
  • D.S. Mitrinovic, J. Pecaric and A.M. Fink, Classical and New Inequalities in Analysis, Kluwer Academic, Dordrecht, 1993.
  • P.M. Rajkovic, M.S. Stankovic and S.D. Marinkovic, Mean value theorems in q-calculus, MatematickiVesnik, 54 2002, 171-178.
There are 4 citations in total.

Details

Primary Language English
Journal Section Volume III, Issue I, 2018
Authors

Mohammad Alomarı 0000-0002-6696-9119

Publication Date December 31, 2018
Published in Issue Year 2018 Volume: 3 Issue: 1

Cite

APA Alomarı, M. (2018). q-Bernoulli inequality. Turkish Journal of Science, 3(1), 32-39.
AMA Alomarı M. q-Bernoulli inequality. TJOS. December 2018;3(1):32-39.
Chicago Alomarı, Mohammad. “Q-Bernoulli Inequality”. Turkish Journal of Science 3, no. 1 (December 2018): 32-39.
EndNote Alomarı M (December 1, 2018) q-Bernoulli inequality. Turkish Journal of Science 3 1 32–39.
IEEE M. Alomarı, “q-Bernoulli inequality”, TJOS, vol. 3, no. 1, pp. 32–39, 2018.
ISNAD Alomarı, Mohammad. “Q-Bernoulli Inequality”. Turkish Journal of Science 3/1 (December 2018), 32-39.
JAMA Alomarı M. q-Bernoulli inequality. TJOS. 2018;3:32–39.
MLA Alomarı, Mohammad. “Q-Bernoulli Inequality”. Turkish Journal of Science, vol. 3, no. 1, 2018, pp. 32-39.
Vancouver Alomarı M. q-Bernoulli inequality. TJOS. 2018;3(1):32-9.
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