where represents class of element with respect to equivalence relation of functions equal almost everywhere.
Let p> 0 and X p = x | x : 0, 1 → ℝ n, ∫ 0 1 ( x ( t ), e k ) p d t ∈ ℝ, k = 1, …, n, where [x] represents class of element x with respect to equivalence relation of functions equal almost everywhere.
Relations of these functions with classical exponentional functions orthogonal over interval (0, ∞), as well as classical polynomials orthogonal over (0, 1) are explained.
In addition, as mentioned previously, Zermelo has no natural way of representing either the general notions of relation or of function.
Defining relations of these functions can be used for designing almost orthogonal filters.
Many authors have obtained several relations of Carathéodory functions, e.g., see ([1 13]).
They also used generalized fractional operators for obtaining some generating function relations of these hypergeometric functions [1 10].
We studied the properties and functional relations of the new function.
References. 1. Eraslan D, Yalınay Dikmen P(1), Ilgaz Aydınlar E, Incesu C. The relation of sexual function to migraine-related disability, depression and anxiety in patients with migraine.
Although as seen above, studies about the relation of lung function, diabetes, and MetS are plentiful, but studies about the relationship of insulin resistance and lung function are scarce.
