Bernoulli convolutions and an intermediate value theorem for entropies ofK-partitions

2002 ◽  
Vol 87 (1) ◽  
pp. 337-367 ◽  
Author(s):  
Elon Lindenstrauss ◽  
Yuval Peres ◽  
Wilhelm Schlag
Keyword(s):  
Intermediate Value Theorem ◽  
Bernoulli Convolutions ◽  
Intermediate Value

A General Constructive Intermediate Value Theorem

1989 ◽  
Vol 35 (5) ◽  
pp. 433-435 ◽  
Author(s):  
Douglas S. Bridges
Keyword(s):  
Intermediate Value Theorem ◽  
Intermediate Value

scholarly journals On some properties of the conformable fractional derivative

2020 ◽  
Vol 6 (2) ◽  
pp. 210-217
Author(s):  
Radouane Azennar ◽  
Driss Mentagui
Keyword(s):  
Fractional Derivative ◽  
Conformable Fractional Derivative ◽  
Intermediate Value Theorem ◽  
Definition Of ◽  
Intermediate Value

AbstractIn this paper, we prove that the intermediate value theorem remains true for the conformable fractional derivative and we prove some useful results using the definition of conformable fractional derivative given in R. Khalil, M. Al Horani, A. Yousef, M. Sababhehb [4].

On an intermediate value theorem for polynomials and power series over a valued field

2016 ◽  
Vol 45 (10) ◽  
pp. 4528-4541
Author(s):  
Carla Massaza ◽  
Lea Terracini ◽  
Paolo Valabrega
Keyword(s):  
Power Series ◽  
Intermediate Value Theorem ◽  
Valued Field ◽  
Intermediate Value

Intermediate value theorems for holomorphic maps in complex Banach spaces

1991 ◽  
Vol 109 (3) ◽  
pp. 539-540 ◽  
Author(s):  
Kazimierz Włodarczyk
Keyword(s):  
Banach Spaces ◽  
Bounded Domain ◽  
Mathematical Analysis ◽  
Closed Interval ◽  
Holomorphic Maps ◽  
Intermediate Value Theorem ◽  
Continuous Map ◽  
Analytic Maps ◽  
Intermediate Value

One of the most celebrated theorems of mathematical analysis is the intermediate value theorem of Bolzano which, in a simple case, states that a real-valued continuous map f of a closed interval [a, b], such that f(a) and f(b) have different signs, has a zero in (a, b). Recently, Shih in [5] observed that without loss of generality we may suppose that a 7 < 0 < b and f(a) < 0 < f(b) and, consequently, the condition f(a).f(b) < 0 becomes x.f(x) > 0 for x∈∂Ω where ∂Ω denotes the boundary of the interval Ω = (a, b); then the conclusion is that f has at least one zero in ω. It is a remarkable fact that Shih extends this form of Boizano's theorem to analytic maps in ℂ [5] and, subsequently, in ℂn [6]. He proved that if Ω is a bounded domain in ℂn containing the origin, is continuous in and analytic in Ω and Re for z∈∂Ω, then f has exactly one zero in Ω. In this paper we extend Shih's result to Banach spaces.

A Discrete Intermediate Value Theorem

1998 ◽  
Vol 29 (1) ◽  
pp. 42
Author(s):  
Richard Johnsonbaugh
Keyword(s):  
Intermediate Value Theorem ◽  
Intermediate Value

An Intermediate Value Theorem in Neighbourhood Spaces

1986 ◽  
Vol 09 (1) ◽  
pp. 181-186 ◽  
Author(s):  
Mashallah MASHINCHI
Keyword(s):  
Intermediate Value Theorem ◽  
Intermediate Value
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