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Popoviciu type inequalities for n-convex functions via extension of weighted Montgomery identity
Studia Universitatis Babeş-Bolyai. MathematicaIn this article, we derive the Popoviciu-type inequalities by using the weighted version of the extension of Montgomery’s identity and Green functions. Some results for n-convex functions at a point are also obtained.
Asif R. Khan, Hira Nabi, J. Pečarić
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Riemann-Liouville and Caputo Fractional Approximation of Csiszar’s $f$-Divergence
Sarajevo Journal of MathematicsHere are established various tight probabilistic inequalities that give nearly best estimates for the Csiszar's $f$-divergence. These involve Riemann-Liouville and Caputo fractional derivatives of the directing function $f.$ Also a lower bound is given ...
G. Anastassiou
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On Jensen’s Inequality Involving Averages of Convex Functions
Sarajevo Journal of MathematicsUsing Wulbert result from Wulbert we deduce a method for constructing exponentially convex functions. To this date there is no known operative criteria for recognizing exponentially convex functions, so our method is of a special interest since there is ...
J. Jakšetić, J. Pečarić, G. Roqia
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Right Caputo Fractional Landau Inequalities
Sarajevo Journal of MathematicsRight Caputo fractional $\left\Vert \cdot \right\Vert _{p}$-Landau type inequalities, $p\in \left( 1,\infty \right] $ are obtained with applications on $\mathbb{R}_{-}$. 2000 Mathematics Subject Classification.
G. Anastassiou
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Numerical Integration of Functions Given by Data Points
Sarajevo Journal of MathematicsLet $a$... 2000 Mathematics Subject Classification.
H. Fejzic
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Exploring error estimates of Newton-Cotes quadrature rules across diverse function classes
Journal of Inequalities and ApplicationsA. Lakhdari +4 more
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