Korean Journal of Mathematics

  • 제28권1호
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  • Pages.9-15
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  • 2020
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  • 1976-8605(pISSN)
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  • 2288-1433(eISSN)
강원경기수학회 (The Kangwon-Kyungki Mathematical Society)
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MORE ON REVERSE OF HÖLDER'S INTEGRAL INEQUALITY

  • Benaissa, Bouharket (Faculty of Material Sciences Laboratory of Informatics and Mathematics University of Tiaret) ;
  • Budak, Huseyin (Department of Mathematics Faculty of Science and Arts Duzce University)
  • 투고 : 2019.07.02
  • 심사 : 2019.12.26
  • 발행 : 2020.03.30
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⟨ 이전 논문 다음 논문 ⟩

초록

In 2012, Sulaiman [7] proved integral inequalities concerning reverse of Holder's. In this paper two results are given. First one is further improvement of the reverse Hölder inequality. We note that many existing inequalities related to the Hölder inequality can be proved via obtained this inequality in here. The second is further generalization of Sulaiman's integral inequalities concerning reverses of Holder's [7].

키워드

참고문헌

  1. C. J. Zhao and W. S. Cheung, Holder's reverse in equality and its applications, Publ. Inst. Math. 99 (113)(2016), 211-216. https://doi.org/10.2298/PIM1613211Z
  2. B. Halim and A. Senouci, Some generalizations involving open problems of F. Qi., Int. J. Open Problems Compt. Math. 12 (1) (2019), 10-21.
  3. L. Xiao-Hua, On the inverse of Holder inequality, Math. Practice and Theory. 1 (1) (1990), 84-88.
  4. D. S. Mitrinovic, J. Pecaric and A. M. Fink, Classical and new inequalities in analysis, 61,126-127, Springer Science and Business Media, 2013.
  5. J. Pecaric and C. E. M. Pearce, On an inverse to the Holder inequality, Int. J. Mathematics and Mathematical Sciences. 20 (1) (1997), 205-207. https://doi.org/10.1155/S0161171297000264
  6. S. Saitoh, V. K. Tuan and M. Yamamoto, Reverse convolution inequalities and applications to inverse heat source problems, J. Inequal. Pure Appl. Math. 3 (5) (2002), 80.
  7. W. T. Sulaiman, Reverses of Minkowski's, Holder's, and Hardy's integral inequalities, Int. J. Mod. Math. Sci. 1 (1) (2012), 14-24.

피인용 문헌

  1. More on Hölder’s Inequality and It’s Reverse via the Diamond-Alpha Integral vol.12, pp.10, 2020, https://doi.org/10.3390/sym12101716