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Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 68 Issue: 1

Certain New Hermite-Hadamard Type Inequalities for Convex Functions Via Fractional Integrals

Erhan Set0000-0003-1364-5396
M. Emin Özdemir0000-0002-5992-094X
Necla Korkut0000-0003-1294-567X
Sayfa
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Yayın Tarihi
2019-02-01
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The object of this paper is to obtain certain Hermite-Hadamard type integral inequalities involving general class of fractional integral operators and the fractional integral operators with exponential kernel by using harmonically convex functions

📌 3 Maddede Bu Makale

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Amaç & Hipotez:The object of this paper is to obtain certain Hermite-Hadamard type integral inequalities involving general class of fractional integral operators and the fractional integral operators with exponential kernel by using harmonically convex functions
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Temel Bulgular & Veri:The object of this paper is to obtain certain Hermite-Hadamard type integral inequalities involving general class of fractional integral operators and the fractional integral operators with exponential kernel by using harmonically convex functions
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Sonuç & Katkı:The object of this paper is to obtain certain Hermite-Hadamard type integral inequalities involving general class of fractional integral operators and the fractional integral operators with exponential kernel by using harmonically convex functions
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Harmonically convex function · Hermite-Hadamard inequality · fractional integral operator

Abstract

The object of this paper is to obtain certain Hermite-Hadamard type integral inequalities involving general class of fractional integral operators and the fractional integral operators with exponential kernel by using harmonically convex functions

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Bu Makaleye Atıf Yap

Set, E., Özdemir, M. E., Korkut, N. (2019). Certain New Hermite-Hadamard Type Inequalities for Convex Functions Via Fractional Integrals. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 68 Issue: 1. https://doi.org/10.31801/cfsuasmas.443617

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Kaynakça (16)

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  4. İşcan, İ. and Wu, S., Hermite-Hadamard type inequalities for harmonically convex functions via fractional integrals, Applied Mathematics and Computation 238, (2014) 237-244.
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  9. Set, E. and Gözpınar, A., Some new inequalities involving generalized fractional integral operators for several class of functions, AIP Conference Proceedings, 1833, 020038 (2017); doi: 10.1063/1.4981686.
  10. Set, E. and Gözpınar, A., Hermite-Hadamard Type Inequalities for convex functions via generalized fractional integral operators, Topol. Algebra Appl, 5 (2017) 55--62.
  11. Set, E., Akdemir, A.O. and Çelik, B., On Generalization of Fejér Type Inequalities via fractional integral operator, ResearchGate, https://www.researchgate.net/publication/311452467.
  12. Set, E. and Çelik, B., On generalization related to the left side of Fejér's inequalites via fractional integral operator, ResearchGate, https://www.researchgate.net/publication/311651826.
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