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Algebraic splines in locally convex spaces functional equations is found. The locally convex topology on the vector space and the properties

Generalized Steffensen’s inequality by Lidstone interpolation and Montogomery’s identity(n+ 1 ) -convex function at a point

Sharp constants in hardy type inequalitiesnon-convex domains

Generalization of the Brunn–Minkowski inequality in the form of Hadwiger for power momentsconvex domain

Hardy type inequalities with weights dependent on the bessel functionsconvex domains

New equations of convolution type obtained by replacing the integral by its maximumTrigonometric convexity

Generalizations of cyclic refinements of jensen's inequality by lidstone's polynomial with applications in information theory2n-convex function

New refinement of the Jensen inequality associated to certain functions with applicationsConvex functions

Some inequalities for Csiszár divergence via theory of time scalesConvex function

CYCLIC REFINEMENTS OF THE DISCRETE HÖLDER’S INEQUALITY WITH APPLICATIONSconvex function

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