Combinatorics

Discrete mathematics

Rearrangement inequality

Pure mathematics

Mathematics

Biology

Mathematical analysis

Chebyshev filter

Ecology

Multidimensional Chebyshev's inequality

Type (biology)

Interval (graph theory)

Inequality

Chebyshev's inequality

Applied mathematics

Markov's inequality

Linear inequality

Fuzzy Sets and Systems

We introduce the interval double integral for interval-valued functions, and give some fundamental properties. Further, we establish some continuous and discrete Chebyshev type inequalities, and some interesting equalities for interval-valued functions. Also, some examples are presented to illustrate our results.

Chebyshev type inequalities for interval-valued functions