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

Bendaoud Abed Sid Ahmed; Bouharket Benaissa; Abdelkader Senouci

doi:10.31801/cfsuasmas.1058586

Research Article

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

Year 2022, Volume: 71 Issue: 3, 759 - 768, 30.09.2022

Bendaoud Abed Sid Ahmed Bouharket Benaissa Abdelkader Senouci

https://doi.org/10.31801/cfsuasmas.1058586

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

Hardy-type inequality, monotone function, sharp constant

References

Benaissa, B., Budak, H., On Hardy-type integral inequalities with negative parameter,Turkish Journal of Inequalities, 5(2) (2021), 42-47.
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
Yang, B., On a new Hardy type integral inequalities, Int. Math. Forum., 67(2) (2007), 3317–3322.
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.
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
Kufner, A., Maligranda, L., Person, L. E., The Hardy Inequality: About Its History and Some Related Results, Vydavatelsky Servis Publishing House, Pilsen, 2007.
Banyat, S., More on some Hardy type integral inequalities, J. Math. Inequal., 8(3) (2014), 497–501.

Year 2022, Volume: 71 Issue: 3, 759 - 768, 30.09.2022

Bendaoud Abed Sid Ahmed Bouharket Benaissa Abdelkader Senouci

https://doi.org/10.31801/cfsuasmas.1058586

Abstract

References

Benaissa, B., Budak, H., On Hardy-type integral inequalities with negative parameter,Turkish Journal of Inequalities, 5(2) (2021), 42-47.
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
Yang, B., On a new Hardy type integral inequalities, Int. Math. Forum., 67(2) (2007), 3317–3322.
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.
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
Kufner, A., Maligranda, L., Person, L. E., The Hardy Inequality: About Its History and Some Related Results, Vydavatelsky Servis Publishing House, Pilsen, 2007.
Banyat, S., More on some Hardy type integral inequalities, J. Math. Inequal., 8(3) (2014), 497–501.

There are 7 citations in total.

Details

Primary Language	English
Subjects	Mathematical Sciences
Journal Section	Research Articles
Authors	Bendaoud Abed Sid Ahmed 0000-0001-5123-9503 Bouharket Benaissa 0000-0002-1195-6169 Abdelkader Senouci 0000-0002-3620-7455
Publication Date	September 30, 2022
Submission Date	January 16, 2022
Acceptance Date	April 6, 2022
Published in Issue	Year 2022 Volume: 71 Issue: 3

Cite

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	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. September 2022;71(3):759-768. doi:10.31801/cfsuasmas.1058586
Chicago	Abed Sid Ahmed, Bendaoud, Bouharket Benaissa, and Abdelkader Senouci. “Some Hardy-Type Integral Inequalities With Sharp Constant Involving Monotone Functions”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 71, no. 3 (September 2022): 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	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, 2022, doi: 10.31801/cfsuasmas.1058586.
ISNAD	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 71/3 (September 2022), 759-768. https://doi.org/10.31801/cfsuasmas.1058586.
JAMA	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, 2022, pp. 759-68, doi:10.31801/cfsuasmas.1058586.
Vancouver	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):759-68.