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Abstract We consider the problem : Given a planar region \(T_{orb}\) described by one inequality \(g(x,y)\leq c_{0}\), find the potentials…

Abstract We consider the problem of finding the optimal values\U{3b1}, \(\U{3b2} \in R\) for which the inequality \(\U{3b1} G(a,b)+(1-\U{3b1} )C(a,b)<L(a,b)<\U{3b2}…

Abstract Let \((M1,M2,M3)\) be three means in two variables chosen from \(H,G,L,I,A,Q,S,C\) so that \(M_{1}(a,b)<M_{2}(a,b)<M_{3}(a,b),0<a<b\). We consider the problem of…

Abstract For \(0<a<b\), the harmonic, geometric and Holder means satisfy \newline\( H<G<Q\). They are special cases \((p=-1,0,2)\) of power means…