Some fuzzy Korovkin type approximation theorems via power series summability method

Characterization of deferred type statistical convergence andP‐summability method for operators: Applications toq‐Lagrange–Hermite operator

“…Taş and Atlihan 35 investigated the Korovkin‐type theorem for the sequence of positive linear operators defined on $$$ C\left[a,b\right] $$$ by using power series method. For further studies in this direction, one can see previous studies 16,27,36,37 . Proceeding in a manner similar to the proof of Theorem 1 proved in Taş and Atlihan, 35 in the following result, we obtain a Korovkin‐type approximation theorem for the operators $$$ {\mathfrak{L}}_n $$$ using $$$ P $$$‐summability method.…”

“…For further studies in this direction, one can see previous studies. 16,27,36,37 Proceeding in a manner similar to the proof of Theorem 1 proved in Taş and Atlihan, 35 in the following result, we obtain a Korovkin-type approximation theorem for the operators 𝔏 n using P-summability method.…”

Fuzzy Korovkin type Theorems via deferred Cesaro and deferred Euler equi-statistical convergence

“…Anastassiou et al [9] investigated a Korovkin-type theorem in the fuzzy setting by using a matrix summability method and also examined the rate of convergence with the aid of fuzzy modulus of continuity. Yavuz [36] presented a fuzzy trigonometric Korovkin type theorem via power series summability method and also established another related approximation theorem with the aid of fuzzy modulus of continuity for functions belonging to C F 2π (R), the space of 2π-periodic fuzzy continuous functions on R. Baxhaku et al [12] derived fuzzy Korovkin type theorem by means of power series method for C F (J b a ), the space of fuzzy continuous functions on J b a and also examined the fuzzy rate of convergence via fuzzy modulus of continuity. Yavuz [37] investigated a trigonometric Korovkin type result for fuzzy valued functions of two variables.…”

On Convergence Theorems for Strong Fuzzy Variational Henstock Integrals

“…In the same year, Baez-Sanchez et al [13] use polygonal fuzzy numbers to approximate fuzzy numbers. Based on the method of power series summability, Baxhaku et al [14] prove the Korovkin type approximation theorem for positive linear fuzzy sequences in 2022. For the study of fuzzy normed spaces, see [15,16].…”