- 期刊
PROPERTIES OF THE MODULUS OF CONTINUITY FOR MONOTONOUS CONVEX FUNCTIONS AND APPLICATIONS
摘要
For a monotone convex function f ∈ C[a, b] we prove that the modulus of continuity w(f; h) is concave on [a, b] as function of h. Applications to approximation theory are obtained.
延伸閱讀
- AMIRI, H. A., & FERNANDO, T. S. (1990). ON CLOSE-TO-CONVEX FUNCTIONS OF COMPLEX ORDER. International Journal of Mathematics and Mathematical Sciences, 1990(), 321-330. https://doi.org/10.1155/S0161171290000473
- Huang, D., & You, L. (2016). Bounds on the Spectral Radius of a Nonnegative Matrix and Its Applications. Journal of Applied Mathematics, 2016(), 87-93. https://doi.org/10.1155/2016/3812736
- Noor, K. I., & Madifer, H. A. (1984). SOME RADIUS OF CONVEXITY PROBLEMS FOR CERTAIN CLASSES OF ANALYTIC FUNCTIONS. International Journal of Mathematics and Mathematical Sciences, 1984(), 713-718. https://doi.org/10.1155/S0161171284000740
- NOOR, K. I., ALOBOUDI, F. M., & ALDIHAN, N. (1983). ON THE RADIUS OF UNIVALENCE OF CONVEX COMBINATIONS OF ANALYTIC FUNCTIONS. International Journal of Mathematics and Mathematical Sciences, 1983(), 335-340. https://doi.org/10.1155/S0161171283000290
- Fan, S., Song, X., & Ma, M. (2009). Monotonic Limit Properties for Solutions of BSDEs with Continuous Coefficients. International Journal of Mathematics and Mathematical Sciences, 2009(), 904-909. https://doi.org/10.1155/2009/671643