Some Companions of Grüss Inequality in Inner Product Spaces
نویسنده
چکیده
∥ ≤ 1 2 |Γ− γ| holds, then we have the inequality (1.3) |〈x, y〉 − 〈x, e〉 〈e, y〉| ≤ 1 4 |Φ− φ| |Γ− γ| . The constant 1 4 is best possible in the sense that it cannot be replaced by a smaller constant. The following particular instances for integrals and means are useful in applications. Corollary 1. Let f, g : [a, b] → K (K = C,R) be Lebesgue measurable and such that there exists the constants φ, γ,Φ,Γ ∈ K with the property (1.4) Re [
منابع مشابه
Some Companions of the Grüss Inequality in Inner Product Spaces
Some companions of Grüss inequality in inner product spaces and applications for integrals are given.
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