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HERMITE INTERPOLATION WITH GREEN FUNCTIONS AND POSITIVITY OF GENERAL LINEAR INEQUALITIES FOR n-CONVEX FUNCTIONS. Moreover, we state related inequalities for n-convex functions at a point. Bounds for the reminders in new
Generalization of cyclic refinements of Jensen’s inequality by Fink’s identityWe generalize cyclic refinements of Jensen’s inequality from a convex function to a higher
POPOVICIU TYPE INEQUALITIES FOR HIGHER ORDER CONVEX FUNCTIONS VIA LIDSTONE INTERPOLATION of the results, some related inequalities for n-convex functions at a point and bounds for integral remainders
GENERALIZED STEFFENSEN'S INEQUALITY BY MONTGOMERY IDENTITIES AND GREEN FUNCTIONS + 1)-convex functions and exponentially convex functions.
GENERALIZATION OF MAJORIZATION THEOREM-II deduced from our generalized results by using the family of (n + 1)-convex functions at a point. We give
Generalized Steffensen’s inequality by Montgomery identity for the generalized class of (n+ 1) -convex functions at a point. At the end, we present some applications of our
On the Coefficients of Quasiconformality for Convex Functions computed the quantity kf(r) for some convex functions. These examples led them to the conjecture that kf (r
On generalization of refinement of Jensen’s inequality using Fink’s identity and Abel-Gontscharoff Green function the recent theory of inequalities for n-convex function at a point. Further we give the bounds
Generalized Steffensen’s inequality by Lidstone interpolation and Montogomery’s identityBy using a Lidstone interpolation, Green’s function and Montogomery’s identity, we prove a new
The punishing factors for convex pairs are 2n-1 with the set A(Ω, ∏) of functions f : Ω → ∏ holomorphic on Ω and we prove estimates for |f(n)(z)|, f ∈ A(Ω, Ω
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