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Inequalities for n-class of functions using the Saigo fractional integral operator

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Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Aims and scope Submit manuscript

Abstract

The role of fractional integral operators can be found as one of the best ways to generalize the classical inequalities. In this paper, we use the Saigo fractional integral operator to produce some inequalities for a class of n-decreasing positive functions. The results are more general than the available classical results in the literature.

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Acknowledgements

The authors are thankful to the anonymous reviewers for their valuable comments which improved the quality of the paper.

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Authors and Affiliations

  1. College of Engineering, Mechanics and Materials, Hohai University, Nanjing, 211100, People’s Republic of China

    Hasib Khan & Dumitru Baleanu

  2. Department of Mathematics, Shaheed Benazir Bhutto University, Sheringal, Dir Upper, Khyber Pakhtunkhwa, 18000, Pakistan

    Hasib Khan

  3. Department of Mathematics, Faculty of Sciences, Van Yuzuncu Yil University, 65080, Van, Turkey

    Cemil Tunç

  4. Department of Mathematics, Çankaya University, 06530, Ankara, Turkey

    Dumitru Baleanu

  5. Institute of Space Sciences, PO Box MG-23, 76900, Magurele-Bucharest, Romania

    Dumitru Baleanu

  6. Department of Mathematics, University of Peshawar, Peshawar, Khyber Pakhtunkhwa, 25000, Pakistan

    Aziz Khan

  7. Department of Mathematics, School of Sciences, Hohai University, Nanjing, 210098, People’s Republic of China

    Abdulwasea Alkhazzan

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  1. Hasib Khan
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  2. Cemil Tunç
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  3. Dumitru Baleanu
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  4. Aziz Khan
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  5. Abdulwasea Alkhazzan
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Correspondence to Cemil Tunç.

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Khan, H., Tunç, C., Baleanu, D. et al. Inequalities for n-class of functions using the Saigo fractional integral operator. RACSAM 113, 2407–2420 (2019). https://doi.org/10.1007/s13398-019-00624-5

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  • DOI: https://doi.org/10.1007/s13398-019-00624-5

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