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

On New Hermite-Hadamard-Fejér type inequalities for harmonically quasi convex functions

Sercan Turhan0000-0002-4392-2182
İmdat İşcan0000-0001-6749-0591
Sayfa
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Yayın Tarihi
2019-02-01
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

In this paper, we give the theorems and results for the trapezoidal and midpoint type inequality of new Hermite-Hadamard-Fejér for harmonically-quasi convex functions via fractional integrals.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we give the theorems and results for the trapezoidal and midpoint type inequality of new Hermite-Hadamard-Fejér for harmonically-quasi convex functions via fractional integrals.
📊
Temel Bulgular & Veri:In this paper, we give the theorems and results for the trapezoidal and midpoint type inequality of new Hermite-Hadamard-Fejér for harmonically-quasi convex functions via fractional integrals.
💡
Sonuç & Katkı:In this paper, we give the theorems and results for the trapezoidal and midpoint type inequality of new Hermite-Hadamard-Fejér for harmonically-quasi convex functions via fractional integrals.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Harmonically-Quasi-convex · Hermite-Hadamard-Fejer type inequalities · fractional Integral

Abstract

In this paper, we give the theorems and results for the trapezoidal and midpoint type inequality of new Hermite-Hadamard-Fejér for harmonically-quasi convex functions via fractional integrals.

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Bu Makaleye Atıf Yap

Turhan, S., İşcan, İ. (2019). On New Hermite-Hadamard-Fejér type inequalities for harmonically quasi convex functions. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 68 Issue: 1. https://doi.org/10.31801/cfsuasmas.464205

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Kaynakça (15)

  1. Alomari, M. W., Darus, M., Kirmaci, U. S., Refinements of Hadamard-type inequalities for quasi-convex functions with applications to trapezoidal formula and to special means, Computers and Mathematics with Applications, 59 (2010), 225-232.
  2. Chen, F. and Wu, S., Fejér and Hermite-Hadamard type inqequalities for harmonically convex functions, J. Appl. Math., volume 2014, article id:386806.
  3. İşcan, İ., Wu, S., Hermite-Hadamard type inequalities for harmonically convex functions via fractional integrals, Appl. Math. Comput., 238 (2014) 237-244.
  4. İşcan, İ., Hermite-Hadamard type inequalities for harmonically convex functions, Hacet. J. Math. Stat., 43 (6) (2014), 935-942.
  5. İşcan, İ. and Kunt, M., Hermite-Hadamard-Fejér type inequalities for harmonically convex functions via fractional integrals, RGMIA, 18(2015), Article 107, 16 pp.
  6. İşcan, İ. and Kunt, M., Hermite-Hadamard-Fejér type inequalities for harmonically quasi-convex functions via fractional integrals, KYUNGPOOK Math., accepted paper.
  7. İşcan, İ., Turhan, S. and Maden, S., Some Hermite-Hadamard-Fejer type inequalities for harmonically convex functions via fractional integral, NTMSCI 4 (2016), No. 2, 1-10.
  8. Kilbas, A. A., Srivastava, H. M., Trujillo, J. J., Theory and applications of fractional differential equations. Elsevier, Amsterdam, 2006.
  9. Latif, M. A., Dragomir, S. S. and Momoniat, E., Some Fejér type inequalities for harmonically-convex functions with applications to special means, RGMIA, 18(2015), Article 24, 17 pp.
  10. Park, J., Hermite-Hadamard Type Inequalities for Harmonically Quasi-Convex Functions (I), Applied Mathematical Sciences, Vol. 8, (2014), no. 99, 4917-4925.
  11. Park, J., Hermite-Hadamard Type Inequalities for Harmonically Quasi-convex Functions (II), International Journal of Mathematical Analysis Vol. 8, (2014), no. 33, 1605-1614.
  12. Turhan, S. and İşcan, İ., Some New Hermite-Hadamard-Fejer Type Inequalities For Harmonically Convex Functions, Researchgate, doi: 10.13140/RG.2.1.2842.3765, under review.
  13. Zhang, T.-Y., Ji, A.-P. and Qi, F., Integral inequalities of Hermite-Hadamard type for harmonically quasi-convex functions. Proc. Jangjeon Math. Soc, 16(3) (2013), 399-407.
  14. İşcan, İ., Wu, S., Hermite-Hadamard type inequalities for harmonically convex functions via fractional integrals, Appl. Math. Comput., 238 (2014) 237-244.
  15. Park, J., Hermite-Hadamard Type Inequalities for Harmonically Quasi-convex Functions (II), International Journal of Mathematical Analysis Vol. 8, (2014), no. 33, 1605-1614.