Bernstein-Doetsch type results for quasiconvex functions
نویسندگان
چکیده
منابع مشابه
Hadamard-type Inequalities for Quasiconvex Functions
Recently Hadamard-type inequalities for nonnegative, evenly quasiconvex functions which attain their minimum have been established. We show that these inequalities remain valid for the larger class containing all nonnegative quasiconvex functions, and show equality of the corresponding Hadamard constants in case of a symmetric domain.
متن کاملJensen’s Inequality for Quasiconvex Functions
This class of functions strictly contains the class of convex functions defined on a convex set in a real linear space. See [8] and citations therein for an overview of this issue. Some recent studies have shown that quasiconvex functions have quite close resemblances to convex functions – see, for example, [4], [6], [7], [10] for quasiconvex and even more general extensions of convex functions...
متن کاملP - functions , quasiconvex functions and Hadamard - type inequalities
We establish some results concerning P{functions from the standpoint of abstract convexity. In particular, we show that the set of all P{functions on a segment is the least set closed under pointwise sum, supremum and convergence and containing the class of all nonnegative quasiconvex functions on that segment. Further, generalizations are derived of a recent inequality of Hadamard type for P{f...
متن کاملHermite-Hadamard inequality for geometrically quasiconvex functions on co-ordinates
In this paper we introduce the concept of geometrically quasiconvex functions on the co-ordinates and establish some Hermite-Hadamard type integral inequalities for functions defined on rectangles in the plane. Some inequalities for product of two geometrically quasiconvex functions on the co-ordinates are considered.
متن کاملOn Bernstein Type Inequalities for Complex Polynomial
In this paper, we establish some Bernstein type inequalities for the complex polynomial. Our results constitute generalizations and refinements of some well-known polynomial inequalities.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematical Inequalities & Applications
سال: 2004
ISSN: 1331-4343
DOI: 10.7153/mia-07-19