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EN
Very general univariate and multivariate Caputo ψ-fractional integral inequalities of Poincaré, Sobolev and Hilbert-Pachpatte types are presented. Estimates are with respect to ‖ ⋅ ‖p, 1 ≤ p < ∞. Applications are given.
EN
In this work we consider quantitatively with rates the convergence of sequences of linear operators applied on Banach space valued functions. The results are pointwise estimates with rates. To prove our main results we use an elegant and natural boundedness property of our linear operators by their companion positive linear operators. Our inequalities are generalized g-direct and iterated fractional involving the right and left vector Caputo type generalized g-direct and iterated fractional derivatives, built in vector moduli of continuity. We treat wide and general classes of Banach space valued functions. We give applications to vectorial Bernstein operators.
3
Content available remote Conformable fractional Iyengar type inequalities
EN
Here we present Conformable fractional Iyengar type inequalities with respect to Lp norms, with 1 < p ≤ ∞. The method is based on the right and left Conformable fractional Taylor’s formulae.
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