In this paper, we establish some new results in ultra Bessel sequences and ultra Bessel sequences of subspaces. Also, we investigate ultra Bessel sequences in direct sums of Hilbert spaces. <span style="font-family: NimbusRomNo9L-Regu; font-size: 11pt; color: #000000; font-s...

For the Jacobi-type Bernstein–Durrmeyer operator Mn,κ on the simplex T d of R , we proved that for f ∈ L(Wκ ;T ) with 1 <p <∞, K2,Φ ( f,n−1 ) κ,p ≤ c‖f −Mn,κf ‖κ,p ≤ c′K2,Φ ( f,n−1 ) κ,p + c′n−1‖f ‖κ,p, where Wκ denotes the usual Jacobi weight on T d , K2,Φ(f, t)κ,p and ‖ · ‖κ,p denote the second-order Ditzian–Totik K-functional and the L-norm with respect to the weight Wκ on T d , respectively...

Purpose: The purpose of this paper is to introduce and study the BaskakovDurrmeyerStancu operators based on q-integers. Methods: First we use property of q-calculus to estimate moments of these operators. Also study some approximation properties, asymptotic formula including q-derivative and point-wise estimation for the operators L n,q . Results: We studied better error estimations for these o...

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context the pnpla3 i148m variant has been recognized as a genetic determinant of liver fat content and a genetic risk factor of liver damage progression associated with steatohepatitis. the i148m variant is associated with many chronic liver diseases. however, its potential association with inflammatory and autoimmune liver diseases has not been established. evidence acquisition we systemically...

The aim of the current research is concentrated on the synthesis of the different nanoparticles such as SnO2 </...