The theory of complete fractional simultaneous monotone uniform polynomial approximation with rates using mixed fractional linear differential operators is developed and presented in the paper. To achieve that, we establish first ordinary simultaneous polynomial approximation with respect to the highest order right and left fractional derivatives of the function under approximation using their moduli of continuity. Then we derive the complete right and left fractional simultaneous polynomial approximation with rates, as well we treat their affine combination. Based on the last and elegant analytical techniques, we derive preservation of monotonicity by mixed fractional linear differential operators. We study some special cases
In this article we deal with the following general two-dimensional problem: Let f be a two variable ...
Let f Î Cr ([−1, 1]), r ³0 and let L∗ be a linear left frac- tional differential operator such that ...
Let/∈ Cp ([-1,1]), p ≥ 0 and let L be a linear left fractional differential operator such that L(f) ...
Abstract. The theory of complete fractional simultaneous monotone uniform poly-nomial approximation ...
Here we extended our earlier fractional monotone approximation theory to abstract fractional monoton...
Here we extended our earlier fractional monotone approximation theory to abstract fractional monoton...
Here we extend our earlier univariate high order simultaneous fractional monotone approximation theo...
In this article we deal with the following general two-dimensional problem: Let f be a two variable ...
Let f ∈ Cr([−1,1]), r ≥ 0 and let L* be a linear right fractional differential operator such that L*...
In this article we deal with the following general two-dimensional problem: Let f be a two variable ...
Let f ∈ Cr,p ([O, 1]2), r, p ∈ ℕ, and let L be a linear right fractional mixed partial differential ...
Let f ∈ Cr,p ([O, 1]2), r, p ∈ ℕ, and let L be a linear right fractional mixed partial differential ...
Let f ∈ Cr,p ([0, 1]2), r, p ∈ ℕ, and let L∗ be a linear left fractional mixed partial differential ...
Let f ∈ Cr,p ([0, 1]2), r, p ∈ ℕ, and let L∗ be a linear left fractional mixed partial differential ...
In this article we deal with the following general two-dimensional problem: Let f be a two variable ...
In this article we deal with the following general two-dimensional problem: Let f be a two variable ...
Let f Î Cr ([−1, 1]), r ³0 and let L∗ be a linear left frac- tional differential operator such that ...
Let/∈ Cp ([-1,1]), p ≥ 0 and let L be a linear left fractional differential operator such that L(f) ...
Abstract. The theory of complete fractional simultaneous monotone uniform poly-nomial approximation ...
Here we extended our earlier fractional monotone approximation theory to abstract fractional monoton...
Here we extended our earlier fractional monotone approximation theory to abstract fractional monoton...
Here we extend our earlier univariate high order simultaneous fractional monotone approximation theo...
In this article we deal with the following general two-dimensional problem: Let f be a two variable ...
Let f ∈ Cr([−1,1]), r ≥ 0 and let L* be a linear right fractional differential operator such that L*...
In this article we deal with the following general two-dimensional problem: Let f be a two variable ...
Let f ∈ Cr,p ([O, 1]2), r, p ∈ ℕ, and let L be a linear right fractional mixed partial differential ...
Let f ∈ Cr,p ([O, 1]2), r, p ∈ ℕ, and let L be a linear right fractional mixed partial differential ...
Let f ∈ Cr,p ([0, 1]2), r, p ∈ ℕ, and let L∗ be a linear left fractional mixed partial differential ...
Let f ∈ Cr,p ([0, 1]2), r, p ∈ ℕ, and let L∗ be a linear left fractional mixed partial differential ...
In this article we deal with the following general two-dimensional problem: Let f be a two variable ...
In this article we deal with the following general two-dimensional problem: Let f be a two variable ...
Let f Î Cr ([−1, 1]), r ³0 and let L∗ be a linear left frac- tional differential operator such that ...
Let/∈ Cp ([-1,1]), p ≥ 0 and let L be a linear left fractional differential operator such that L(f) ...