Sharp Bounds for the Weighted Geometric Mean of the First Seiffert and Logarithmic Means in terms of Weighted Generalized Heronian Mean

Sharp Bounds for the Weighted Geometric Mean of the First Seiffert and Logarithmic Means in terms of Weighted Generalized Heronian Mean

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Optimal bounds for the weighted geometric mean of the first Seiffert and logarithmic means by weighted generalized Heronian mean are proved.We answer the question: for what the greatest Insect Repellant value and the least value such that the double inequality, , holds for all with are.Here, and denote Wormwood the first Seiffert, logarithmic, and weighted generalized Heronian means of two positive numbers and respectively.