On Some New Fejer Type Inequalities

Yıldız, Çetin; ÖZDEMİR, MUHAMET EMİN; GÜRBÜZ, MUSTAFA

doi:10.1186/s40064-016-2215-4

Makale Tam Makale Uluslararası 2016

On Some New Fejer Type Inequalities

Çetin Yıldız, MUHAMET EMİN ÖZDEMİR, MUSTAFA GÜRBÜZ

Caspian Journal of Applied Mathematics, Ecology and Economics Cilt 4 · ss. 40–50 · 01.05.2016

DOI ile aç

Özet

In this paper, firstly, new Hermite-Hadamard type inequalities for harmonically convex functions in fractional integral forms are given. Secondly, Hermite-Hadamard-Fejer inequalities for harmonically convex functions in fractional integral forms are built. Finally, an integral identity and some Hermite-Hadamard-Fejer type integral inequalities for harmonically convex functions in fractional integral forms are obtained. Some results presented here provide extensions of others given in earlier works.

Anahtar kelimeler

Hermite-Hadamard inequality Riemann-Liouville fractional integrals Hermite-Hadamard-Fejer inequality Harmonically convex functions

Atıf için künye

Yıldız, Ç., ÖZDEMİR, M. E., & GÜRBÜZ, M. (2016). On Some New Fejer Type Inequalities. Caspian Journal of Applied Mathematics, Ecology and Economics, 4, 40–50. https://doi.org/10.1186/s40064-016-2215-4

BibTeX

@article{yildiz2016-146783,
  author = {Yıldız, Çetin and ÖZDEMİR, MUHAMET EMİN and GÜRBÜZ, MUSTAFA},
  title = {On Some New Fejer Type Inequalities},
  journal = {Caspian Journal of Applied Mathematics, Ecology and Economics},
  year = {2016},
  volume = {4},
  pages = {40--50},
  doi = {10.1186/s40064-016-2215-4},
  url = {https://akademik.atauni.edu.tr/yayinlar/146783-on-some-new-fejer-type-inequalities}
}