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A Theorem on Orthogonal Functions with an Application to Integral Inequalities

A Theorem on Orthogonal Functions with an Application to Integral Inequalities

By a non-trivial solution we mean a solution which is not identically zero, t The case in which Df¿0 is compatible with the theorem, since in that case the equation ( 15) admits no non-trivial solution, and the inequality (12) admits a solution (14).