Symmetrized (p,h)-convexity and some Hermite-Hadamard-type inequalities

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Symmetrized (p,h)-convexity and some Hermite-Hadamard-type inequalities

Tác giả

Lê Bá Thông

Tóm tắt

This paper introduces symmetrized (p,h)-convex functions and establishes some Hermite-Hadamard-type inequalities for the new class of functions.

Article Details

Chuyên mục
Khoa học Tự nhiên
Tiểu sử Tác giả

Lê Bá Thông

Faculty of Natural Science and Technology, Tay Nguyen University;
Corresponding author: Le Ba Thong; Tel: 0978165041; Email: lbthong@ttn.edu.vn.

Tài liệu tham khảo

  • Dragomir, S. S., & Pearce, C. (2003). Selected topics on Hermite-Hadamard inequalities and applications. RGMIA Monographs, Victoria University.
  • Dragomir, S. S. (2016). Symmetrized convexity and Hermite-Hadamard-type inequalities. Journal of Mathematical Inequalities, 10(4), 901-918.
  • Fang, Z. B., & Shi, R. (2014). On the (p, h)-convex function and some integral inequalities. Journal of Inequalities and Applications, 2014(1), 1-16.
  • Hadamard, J. (1893). Étude sur les propriétés des fonctions entiéres et en particulier d'une fonction considérée par Riemann, J. Math. Pures Appl. 58, 171–215
  • Hermite, Ch. (1883). Sur deux limites d'une intégrale dé finie. Mathesis, 3, 82.
  • İşcan, İ. (2020). Symmetrized p-convexity and related some integral inequalities. arXiv preprint arXiv:1901.09907.
  • Mitrinović, D. S., & Lacković, I. B. (1985). Hermite and convexity. Aequationes Mathematicae, 28(1), 229-232.
  • Noor, M. A., & et al. (2015). Some integral inequalities for harmonically h-convex functions. UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, 77(1), 5-16.
  • Varošanec, S. (2007). On h-convexity. Journal of Mathematical Analysis and Applications, 326(1), 303- 311.
  • Wu, S., & et al. (2017). Inequalities related to symmetrized harmonically convex functions. arXiv:1711.08051v1 [math.CA] 4 Nov 2017.
  • Zhang, K.S., & Wan, J.P. (2007). p-convex functions and their properties. Pure and Applied Mathematics, 23(1), 130-133.