A new approach for the derivation of bounds for the Jensen difference

[1]  A novel approach to the Jensen gap through Taylor's theorem , 2020, Mathematical Methods in the Applied Sciences.

[2]  Yuming Chu,et al.  A New Bound for the Jensen Gap With Applications in Information Theory , 2020, IEEE Access.

[3]  S. Azar Jensen’s Inequality in Finance , 2008 .

[4]  N. Ţăpuş,et al.  A new entropy upper bound , 2012, Appl. Math. Lett..

[5]  Qian Lin Jensen inequality for superlinear expectations , 2019, Statistics & Probability Letters.

[6]  Y. Chu,et al.  A new bound for the Jensen gap pertaining twice differentiable functions with applications , 2020 .

[7]  Pietro Cerone,et al.  Mathematical Inequalities: A Perspective , 2010 .

[8]  C. White,et al.  Application of Jensen's inequality to adaptive suboptimal design , 1980 .

[9]  N. Mukhopadhyay On Sharp Jensen's Inequality and Some Unusual Applications , 2011 .

[10]  Sadegh Abbaszadeh,et al.  Jensen-type inequalities for Sugeno integral , 2017, Inf. Sci..

[11]  Marimuthu Palaniswami,et al.  Assessment of Fetal Development Using Cardiac Valve Intervals , 2017, Frontiers in Physiology.

[12]  J. Pečarić,et al.  Zipf–Mandelbrot law, f-divergences and the Jensen-type interpolating inequalities , 2018, Journal of Inequalities and Applications.

[13]  J. Pečarić,et al.  A New Refinement of the Jensen Inequality with Applications in Information Theory , 2020, Bulletin of the Malaysian Mathematical Sciences Society.

[14]  J. Pečarić,et al.  Refinements of the integral form of Jensen’s and the Lah–Ribarič inequalities and applications for Csiszár divergence , 2020 .

[15]  Y. Chu,et al.  New estimates for generalized Shannon and Zipf-Mandelbrot entropies via convexity results , 2020 .

[16]  Levinson type inequalities for higher order convex functions via Abel–Gontscharoff interpolation , 2019, Advances in Difference Equations.

[17]  J. Pečarić,et al.  New bounds for soft margin estimator via concavity of Gaussian weighting function , 2020 .

[18]  Christopher S. Goodrich,et al.  Nonlocal difference equations with sign-changing coefficients , 2020, Appl. Math. Lett..

[19]  J. Pečarić,et al.  New refinement of the Jensen inequality associated to certain functions with applications , 2020 .

[20]  Y. Chu,et al.  Converses of the Jensen inequality derived from the Green functions with applications in information theory , 2019, Mathematical Methods in the Applied Sciences.

[21]  Shanhe Wu,et al.  Refinements of Majorization Inequality Involving Convex Functions via Taylor’s Theorem with Mean Value form of the Remainder , 2019, Mathematics.

[22]  Y. Chu,et al.  New Estimates for the Jensen Gap Using s-Convexity With Applications , 2020, Frontiers in Physics.

[23]  New improvements of Jensen’s type inequalities via 4-convex functions with applications , 2021 .