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<p>The goal of this work is to use novel Green functions and Fink’s identity to establish generalized results on Levinson-type inequalities for <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10_2025_1238_Article_IEq1.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="13" /> </InlineMediaObject> <EquationSource Format="TEX">\(\mathbb {m}\)</EquationSource> <EquationSource Format="MATHML"><math> <mi mathvariant="double-struck">m</mi> </math></EquationSource> </InlineEquation>-convex functions. Csiszár divergence and Shannon entropy are employed to develop new estimations for novel functionals. Furthermore, a number of applications in terms of the Bhattacharyya coefficient, Kullback-Leibler divergence, Jeffrey’s distance and Triangular discrimination are presented.</p>

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Generalized results on Levinson-type inequalities via Green functions and Fink’s identity

  • 期刊论文

  • 发表日期：

    2025年10月15日

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  • Awais Rasheed,
  • Khuram Ali Khan,
  • Josip Pečarić,
  • Đilda Pečarić

摘要

The goal of this work is to use novel Green functions and Fink’s identity to establish generalized results on Levinson-type inequalities for \(\mathbb {m}\) m -convex functions. Csiszár divergence and Shannon entropy are employed to develop new estimations for novel functionals. Furthermore, a number of applications in terms of the Bhattacharyya coefficient, Kullback-Leibler divergence, Jeffrey’s distance and Triangular discrimination are presented.