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However, f is defined over a continuous interval whose samples are infinite dimensional vector.
Wave behaviour of ionospheric sporadic E-layer variations is investigated by analysing Northern hemisphere ionosonde data for a continuous interval of 20 years.
The binary constraint (5b) is replaced with a continuous interval constraint, i.e., (x_{ij}^{k} in [0,1]) is substituted for (x_{ij}^{k} in {0,1}).
In solving these problems, we design a data structure T that maintains in O logn) time per operation, a function f :R→R under the following query and update operations where [a,b) is a continuous interval in R:.
Furthermore, we observe that if a continuous interval function X is a unique w-monotone solution of (3.1) on ([a,b]), then the function (Y t):=X t) ominus_{g}X(a)) is w-increasing on ([a,b]).
We say that a continuous interval function (X: [a,b] to K_{C}(mathbb {R})) is a solution to the interval fractional integral equation (3.1) if it satisfies equation (3.1).
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A continuous interval-valued function (F x)) is integrable.
where F : I × C σ → K C ( R ) is a continuous interval-valued function and φ ∈ C σ.
It follows that a continuous interval-valued function is rd-continuous, and a rd-continuous interval-valued function is regulated.
It can be checked that f is a continuous interval-valued function in t and x, and it satisfies the conditions as in Theorem 6.7.
Subsequently, on the basis of one such space, we introduced a continuous interval-valued function space which has been proven to be a complete normed quasi-linear space.
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