FURTHER RESULTS ON CONVEX FUNCTIONS AND SEPARABLE SEQUENCES WITH APPLICATIONS
M. ADIL KHAN, M. NIEZGODA, J. PEČARIĆ
In this paper, generalizations are given for some recent results of Niezgoda [M. Niezgoda, Remarks on convex functions and separable sequences, Discrete Math. 308 (2008) 1765-1773]. As applications, two mean value theorems are derived. Gram type inequality is proved. Exponential convexity for differences of power means is shown. Monotonicity of Cauchy type means is shown.
Viện Toán học, Viện Hàn lâm Khoa học và Công nghệ Việt Nam
Địa chỉ: Số 18 đường Hoàng Quốc Việt, quận Cầu Giấy, Hà Nội
Điện thoại: 024 37563474 - Fax: 024 37564303
Email: vientoan@math.ac.vn
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