Abstract
In a recent paper by Pal, Singh and Aujla, a general version of second-order Bernoulli’s inequality is proved. Motivated from this, we shall prove yet another generalized form of this inequality. As an application the significant generalized difference operator mean inequalities, equalities and their eigenvalue inequalities will be proved for two positive invertible operators and on a seperable Hilbert space under the condition that is compact.
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