We give a succinct proof of a duality theorem obtained by R\'ev\'esz in $1991$ which concerns extremal quantities related to trigonomertic polynomials. The key tool of our new proof is an intersection formula on dual cones in real Banach spaces. We show another application of this intersection formula which is related to the integral estimates of non-negative positive definite functions.
Complete $(p,q)$-elliptic integrals with application to a family of means
A note on a hypergeometric transformation formula due to Slater with an application
On weak$^*$-convergence in the localized Hardy spaces $H^1_ρ(\mathcal X)$ and its application
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