<p>The purpose of this study is to demonstrate several types of coordinated Copson integral inequalities by employing the Copson–Steklov operator <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(T:=T_{f}^{\phi }\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>T</mi> <mo>:</mo> <mo>=</mo> <msubsup> <mi>T</mi> <mrow> <mi>f</mi> </mrow> <mi>ϕ</mi> </msubsup> </mrow> </math></EquationSource> </InlineEquation> and the Hölder inequality. Some additional bilinear Copson integral inequalities will be derived as special cases of the results that we have obtained.</p>

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A study on coordinated Copson–Steklov-type integral inequalities

  • Bouharket Benaissa

摘要

The purpose of this study is to demonstrate several types of coordinated Copson integral inequalities by employing the Copson–Steklov operator \(T:=T_{f}^{\phi }\) T : = T f ϕ and the Hölder inequality. Some additional bilinear Copson integral inequalities will be derived as special cases of the results that we have obtained.