On some inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula

Kırmacı, Uğur Selamet; Ozdemir, ME

doi:10.1016/s0096-3003(03)00637-4

Makale Tam Makale Uluslararası 2004

On some inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula

Uğur Selamet Kırmacı, ME Ozdemir

APPLIED MATHEMATICS AND COMPUTATION Cilt 153 · Sayı 2 · ss. 361–368 · 01.06.2004

DOI ile aç

Özet

Some inequalities are presented here for differentiable convex mappings, using Hermite-Hadamard's integral inequality holding for convex functions. A parallel development is deduced for differentiable concave functions. Some applications to special means of real numbers are also given. Finally, some error estimates for the midpoint formula are obtained. Published by Elsevier Inc.

Anahtar kelimeler

CONVEX-FUNCTIONS Hermite-Hadamard inequality Integral inequalities concave functions MIDPOINT FORMULA special means

Atıf için künye

Kırmacı, U. S., & Ozdemir, M. (2004). On some inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula. APPLIED MATHEMATICS AND COMPUTATION, 153(2), 361–368. https://doi.org/10.1016/s0096-3003%2803%2900637-4

BibTeX

@article{kirmaci2004-153691,
  author = {Kırmacı, Uğur Selamet and Ozdemir, ME},
  title = {On some inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula},
  journal = {APPLIED MATHEMATICS AND COMPUTATION},
  year = {2004},
  volume = {153},
  number = {2},
  pages = {361--368},
  issn = {0096-3003},
  doi = {10.1016/s0096-3003(03)00637-4},
  url = {https://akademik.atauni.edu.tr/yayinlar/153691-on-some-inequalities-for-differentiable-mappings-and-applications-to-special}
}