Research Article

Some Hardy-type integral inequalities with sharp constant involving monotone functions

Volume: 71 Number: 3 September 30, 2022
EN

Some Hardy-type integral inequalities with sharp constant involving monotone functions

Abstract

In this work, we present some Hardy-type integral inequalities for 0 < p < 1 via a second parameter q > 0 with sharp constant. This inequalities are new generalizations to the inequalities given below.

Keywords

References

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  2. Benaissa, B., Sarikaya, M. Z., Senouci, A., On some new Hardy-type inequalities, J. Math. Meth. Appl. Sci., 43 (2020), 8488-8495. https/doi.org/10.1002/mma.6503
  3. Yang, B., On a new Hardy type integral inequalities, Int. Math. Forum., 67(2) (2007), 3317–3322.
  4. Burenkov, V. I., On the best constant in Hardy’s inequality with 0 < p < 1 for monotone functions, Proc. Steklov Inst. Math., 194 (1993), 59-63.
  5. Sulaiman, W. T., Some Hardy type integral inequalities, Appl. Math. Lett, 25 (2012), 520-525. https://doi.org/10.1016/j.aml.2011.09.050
  6. Kufner, A., Maligranda, L., Person, L. E., The Hardy Inequality: About Its History and Some Related Results, Vydavatelsky Servis Publishing House, Pilsen, 2007.
  7. Banyat, S., More on some Hardy type integral inequalities, J. Math. Inequal., 8(3) (2014), 497–501.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

September 30, 2022

Submission Date

January 16, 2022

Acceptance Date

April 6, 2022

Published in Issue

Year 2022 Volume: 71 Number: 3

APA
Abed Sid Ahmed, B., Benaissa, B., & Senouci, A. (2022). Some Hardy-type integral inequalities with sharp constant involving monotone functions. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 71(3), 759-768. https://doi.org/10.31801/cfsuasmas.1058586
AMA
1.Abed Sid Ahmed B, Benaissa B, Senouci A. Some Hardy-type integral inequalities with sharp constant involving monotone functions. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2022;71(3):759-768. doi:10.31801/cfsuasmas.1058586
Chicago
Abed Sid Ahmed, Bendaoud, Bouharket Benaissa, and Abdelkader Senouci. 2022. “Some Hardy-Type Integral Inequalities With Sharp Constant Involving Monotone Functions”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 71 (3): 759-68. https://doi.org/10.31801/cfsuasmas.1058586.
EndNote
Abed Sid Ahmed B, Benaissa B, Senouci A (September 1, 2022) Some Hardy-type integral inequalities with sharp constant involving monotone functions. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 71 3 759–768.
IEEE
[1]B. Abed Sid Ahmed, B. Benaissa, and A. Senouci, “Some Hardy-type integral inequalities with sharp constant involving monotone functions”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 71, no. 3, pp. 759–768, Sept. 2022, doi: 10.31801/cfsuasmas.1058586.
ISNAD
Abed Sid Ahmed, Bendaoud - Benaissa, Bouharket - Senouci, Abdelkader. “Some Hardy-Type Integral Inequalities With Sharp Constant Involving Monotone Functions”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 71/3 (September 1, 2022): 759-768. https://doi.org/10.31801/cfsuasmas.1058586.
JAMA
1.Abed Sid Ahmed B, Benaissa B, Senouci A. Some Hardy-type integral inequalities with sharp constant involving monotone functions. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2022;71:759–768.
MLA
Abed Sid Ahmed, Bendaoud, et al. “Some Hardy-Type Integral Inequalities With Sharp Constant Involving Monotone Functions”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 71, no. 3, Sept. 2022, pp. 759-68, doi:10.31801/cfsuasmas.1058586.
Vancouver
1.Bendaoud Abed Sid Ahmed, Bouharket Benaissa, Abdelkader Senouci. Some Hardy-type integral inequalities with sharp constant involving monotone functions. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2022 Sep. 1;71(3):759-68. doi:10.31801/cfsuasmas.1058586

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