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ESTIMATION OF f-DIVERGENCE AND SHANNON ENTROPY BY LEVINSON TYPE INEQUALITIES VIA LIDSTONE INTERPOLATING POLYNOMIALUsing Lidstone interpolating polynomial, some new generalizations of Levinson-type inequalities

POPOVICIU TYPE INEQUALITIES FOR HIGHER ORDER CONVEX FUNCTIONS VIA LIDSTONE INTERPOLATIONWe use Lidstone's interpolating polynomials to obtain Popoviciu-type inequalities containing sums

WEIGHTED OSTROWSKI TYPE INEQUALITIES BY LIDSTONE POLYNOMIALS of class C-n presented by Lidstone interpolating polynomial.

Estimation of f-divergence and Shannon entropy by Levinson type inequalities via new Green’s functions and Lidstone polynomialBy using new Green’s functions and Lidstone interpolating polynomial, some new generalizations

Generalizations of cyclic refinements of jensen's inequality by lidstone's polynomial with applications in information theory Lidstone's polynomial. As an application of our obtained results we have given new entropic bounds. Also

Estimation of entropies on time scales by Lidstone’s interpolation using Csiszár-type functionalEstimation of entropies on time scales by Lidstone’s interpolation using Csiszár-type functional

Estimate of the norm of the Lagrange interpolation operator in the multidimensional weighted Sobolev space of multi-indices, the interpolating polynomials converge to the interpolated function and the rate

Estimation of different entropies via Lidstone polynomial using Jensen-type functionals functionals. Furthermore, we generalize these new functionals for m-convex function using Lidstone polynomial

Estimate of the norm of the Lagrange interpolation operator in the multidimensional weighted Sobolev space of multi-indices, the interpolating polynomials converge to the interpolated function and the rate

Generalized interpolating polynomial operator An of fractional integration, Lagrange interpolation polynomial, the properties of fractional differentiation

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