11 research outputs found
On Gauss-Póya's Inequality. Sitzungsberichte und Anzeiger der math.-nat. Klasse / Jahrgang 1998
No full textPositivity of Sums and Integrals for n-Convex Functions via Abel-Gontscharoff's Interpolating Polynomial and Green Functions
No full textWe consider positivity of sum Sigma(n)(i=1) p(i)f(x(i)) involving convex functions of higher order. Analogous for integral integral(b)(a) p(x)f(g(x))dx is also given. Representation of a function f via the Abel-Gontscharoff's Interpolating Polynomial and Green functions leads us to identities for which we obtain conditions for positivity of the mentioned sum and integral. We obtain bound for integral remainders which occur in those identities as well as corresponding mean value theorem
Hermite-Hadamard type inequalities in the setting of <i>k</i>-fractional calculus theory with applications
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Certain mean-type fractional integral inequalities via different convexities with applications
No full textOn some fractional integral inequalities for generalized strongly modified -convex functions
No full textEstimates of upper bound for a kth order differentiable functions involving Riemann–Liouville integrals via higher order strongly h-preinvex functions
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