Multivariate Iyengar type inequalities for radial functions

Here we present a variety of multivariate Iyengar type inequalities for radial functions defined on the shell and ball. Our approach is based on the polar coordinates in R^N, N>=2, and the related multivariate polar integration formula. Via this method we transfer well-known univariate Iyengar type inequalities and uni-variate author’s related results into multivariate Iyengar inequalities

General Ordinary Iyengar Inequalities

Here we present general Iyengar type inequalities with respect to norms, with. The method is based on the generalized Taylor’s formula. See also [2]

General Multivariate Iyengar Inequalities

Here we give a variety of general multivariate Iyengar type inequalities for not necessarily radial functions defined on the shell and ball

Canavati Fractional Iyengar Inequalities

Here we present Canavati fractional Iyengar type inequalities with respect to norms, with. The method is based on the right and left Canavati fractional Taylor’s formulae. See also [3]

Weighted Caputo Fractional Iyengar Type Inequalities

Here we present weighted fractional Iyengar type inequalities with respect to Lp norms, with (Formula Presented). Our employed fractional calculus is of Caputo type defined with respect to another function. Our results provide quantitative estimates for the approximation of the Lebesgue-Stieljes integral of a function, based on its values over a finite set of points including at the endpoints of its interval of definition. Our method relies on the right and left generalized fractional Taylor’s formulae. The iterated generalized fractional derivatives case is also studied. We give applications at the end. See also[3]

Iyengar Fuzzy Inequalities

Here we present fuzzy Iyengar type inequalities for continuous fuzzy number valued functions. These functions fulfill some type of Lipschitz conditions. See also [3]

Multivariate Iyengar Inequalities for Radial Functions

Here we present a variety of multivariate Iyengar type inequalities for radial functions defined on the shell and ball. Our approach is based on the polar coordinates in, and the related multivariate polar integration formula. Via this method we transfer well-known univariate Iyengar type inequalities and univariate author’s related results into multivariate Iyengar inequalities. See also [3]

Multidimensional Fractional Iyengar Inequalities for Radial Functions

Here we derive a variety of multivariate fractional Iyengar type inequalities for radial functions defined on the shell and ball

Delta Time Scales Iyengar Inequalities

Here we give the necessary background on delta time scales approach. Then we present general related time scales delta Iyengar type inequalities for all basic norms. We finish with applications to specific time scales like and See also [5]

Choquet–Iyengar Advanced Inequalities

Here we extend advanced known Iyengar type inequalities to Choquet integrals setting with respect to distorted Lebesgue measures and for monotone functions. See also [2]