Extensions and improvements of Sherman’s and related inequalities for n-convex functions
Copyright policy )Extensions and improvements of Sherman’s and related inequalities for n-convex functions
AbstractThis paper gives extensions and improvements of Sherman’s inequality forn-convex functions obtained by using new identities which involve Green’s functions and Fink’s identity. Moreover, extensions and improvements of Majorization inequality as well as Jensen’s inequality are obtained as direct consequences. New inequalities between geometric, logarithmic and arithmetic means are also established.
- University of Zagreb Croatia
- University of Split Croatia
green functions, Čebyčev functional, Chebyshev functional, sherman inequality, n-convex, majorization inequality, Jensen inequality, fink identity, Sherman inequality, Fink identity, jensen inequality, Majorization inequality, Sherman inequality, Majorization inequality, Jensen inequality, n-convex, Green functions, Fink identity, Čebyčev functional, Means, 26d15, QA1-939, Inequalities for sums, series and integrals, means, \(n\)-convex, čebyšev functional, Green functions, Mathematics, Means
green functions, Čebyčev functional, Chebyshev functional, sherman inequality, n-convex, majorization inequality, Jensen inequality, fink identity, Sherman inequality, Fink identity, jensen inequality, Majorization inequality, Sherman inequality, Majorization inequality, Jensen inequality, n-convex, Green functions, Fink identity, Čebyčev functional, Means, 26d15, QA1-939, Inequalities for sums, series and integrals, means, \(n\)-convex, čebyšev functional, Green functions, Mathematics, Means
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