Research Article

The Minkowski type inequalities for weighted fractional operators

Volume: 71 Number: 3 September 30, 2022
EN

The Minkowski type inequalities for weighted fractional operators

Abstract

In this article, inequalities of reverse Minkowski type involving weighted fractional operators are investigated. In addition, new fractional integral inequalities related to Minkowski type are also established.

Keywords

References

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  2. Akdemir, A.O., Butt, S.I., Nadeem, M., Ragusa, M.A., New general variants of Chebyshev type inequalities via generalized fractional integral operators, Mathematics, 9(2) (2021), 122. https://doi.org/10.3390/math9020122
  3. Bayraktar, B., Some integral inequalities of Hermite-Hadamard type for differentiable (s,m)-convex functions via fractional integrals, TWMS Jour. App. Engin. Math., 10(3) (2020), 625-637.
  4. Belarbi, S., Dahmani, Z., On some new fractional integral inequalities, J. Ineq. Pure and Appl. Math., 10(3) (2009), art. 86.
  5. Bougoffa, L., On Minkowski and Hardy integral inequalities, J. Ineq. Pure & Appl. Math., 7(2) (2006), art. 60.
  6. Butt, S.I., Nadeem, M., Farid, G., On Caputo fractional derivatives via exponential s-convex functions, Turkish Jour. Sci., 5(2) (2020), 140-146.
  7. Butt, S.I., Umar, M., Rashid, S., Akdemir, A.O., Chu, Y.M., New Hermite-Jensen-Mercer-type inequalities via k-fractional integrals, Adv. Diff. Equat., 1 (2020), 1-24. https://doi.org/10.1186/s13662-020-03093-y
  8. Chinchane, V.L., Pachpatte, D.B., New fractional inequalities via Hadamard fractional integral, Int. J. Funct. Anal., 5 (2013), 165-176.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

September 30, 2022

Submission Date

January 6, 2022

Acceptance Date

April 21, 2022

Published in Issue

Year 1970 Volume: 71 Number: 3

APA
Yıldız, Ç., & Gürbüz, M. (2022). The Minkowski type inequalities for weighted fractional operators. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 71(3), 884-897. https://doi.org/10.31801/cfsuasmas.1054069
AMA
1.Yıldız Ç, Gürbüz M. The Minkowski type inequalities for weighted fractional operators. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2022;71(3):884-897. doi:10.31801/cfsuasmas.1054069
Chicago
Yıldız, Çetin, and Mustafa Gürbüz. 2022. “The Minkowski Type Inequalities for Weighted Fractional Operators”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 71 (3): 884-97. https://doi.org/10.31801/cfsuasmas.1054069.
EndNote
Yıldız Ç, Gürbüz M (September 1, 2022) The Minkowski type inequalities for weighted fractional operators. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 71 3 884–897.
IEEE
[1]Ç. Yıldız and M. Gürbüz, “The Minkowski type inequalities for weighted fractional operators”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 71, no. 3, pp. 884–897, Sept. 2022, doi: 10.31801/cfsuasmas.1054069.
ISNAD
Yıldız, Çetin - Gürbüz, Mustafa. “The Minkowski Type Inequalities for Weighted Fractional Operators”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 71/3 (September 1, 2022): 884-897. https://doi.org/10.31801/cfsuasmas.1054069.
JAMA
1.Yıldız Ç, Gürbüz M. The Minkowski type inequalities for weighted fractional operators. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2022;71:884–897.
MLA
Yıldız, Çetin, and Mustafa Gürbüz. “The Minkowski Type Inequalities for Weighted Fractional Operators”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 71, no. 3, Sept. 2022, pp. 884-97, doi:10.31801/cfsuasmas.1054069.
Vancouver
1.Çetin Yıldız, Mustafa Gürbüz. The Minkowski type inequalities for weighted fractional operators. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2022 Sep. 1;71(3):884-97. doi:10.31801/cfsuasmas.1054069

Cited By

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

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