Approximation for the complete elliptic integral of the first kind

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Answers to three conjectures on convexity of three functions involving complete elliptic integrals of the first kind (2020, background): “Because of the great importance of these integrals, Vourinen and his collaborators initiated an independent subject to study the complete elliptic integrals and their related special functions, numerous new properties and inequalities involving K(r) and E(r) have been obtained in recent years [16, 1”
Ostrowski type inequalities in the sense of generalized $\mathcal{K}$-fractional integral operator for exponentially convex functions (2020, background): “Recently, the properties and applications for the bivariate means and their related special functions have attracted the attention of many researchers [17, 22, 23, 25, 26, 48–51, 56–59, 61, 64, 65, 68, 69].”
Sharp bounds for the Toader mean of order 3 in terms of arithmetic, quadratic and contraharmonic means (2020, background): “The complete elliptic integral K(r) (0 < r < 1) [1,7,8,11,23,27,32,39,40,43,46,48,51] of the first kind is closely related to the complete elliptic integral E(r) of the second kind, which is defined by”