Chebyshev Measures
ثبت نشده
چکیده
We introduce Chebyshev measures. We generalize the representation theorem concerning both measures admitting a density function which is a T {system and oriented measures.
منابع مشابه
3322 Raphaël Cerf
We introduce Chebyshev measures. We generalize the representation theorem concerning both measures admitting a density function which is a T–system and oriented measures.
متن کاملTwo Dimensional Zonoids and Chebyshev Measures
We give an alternative proof to the well known fact that each convex compact centrally symmetric subset of R2 containing the origin is a zonoid, i.e., the range of a two dimensional vector measure, and we prove that a two dimensional zonoid whose boundary contains the origin is strictly convex if and only if it is the range of a Chebyshev measure. We give a condition under which a two dimension...
متن کاملNon-commutative Jensen and Chebyshev inequalities for measurable matrix-valued functions and measures
The idea of noncommutative averaging (that is, of a matrix-convex combination of matrixvalued functions) extends quite naturally to the integral of matrix-valued measurable functions with respect to positive matrix-valued measures. In this lecture I will report on collaborative work with F. Zhou, S. Plosker, and M. Kozdron on formulations of some classical integral inequalities (Jensen, Chebysh...
متن کاملAsymptotically optimal configurations for Chebyshev constants with an integrable kernel
We show that if a lower-semicontinuous kernel K satisfies some mild additional hypotheses, then configurations that are asympotitically optimal for the extremal problems defining the Chebyshev constants are precisely those whose counting measures converge to the equilibrium measure for the corresponding minimum energy problem.
متن کاملBulgarian Academy of Sciences
The theory of fuzzy measures and fuzzy integrals was introduced by S u g e n o [16] and intensively studied. Monographs [15] and [18] are dedicated to this topic. Recently, several classical inequalities were generalized to fuzzy integral. F l o r e sF r a n u l i č and R o m á n-F l o r e s [11] provided a Chebyshev type inequality for fuzzy integral of continuous and strictly monotone functio...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1996