TY - JOUR AU - Debnath, Shyamal AU - Saha, Subrata PY - 2017/03/23 Y2 - 2024/03/29 TI - Matrix transformation on statistically convergent sequence spaces of interval number sequences JF - Proyecciones (Antofagasta, On line) JA - Proyecciones (Antofagasta, On line) VL - 35 IS - 2 SE - DO - 10.4067/S0716-09172016000200004 UR - https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1227 SP - 187-195 AB - <span style="font-family: verdana; font-size: small; text-align: justify;">The main purpose of this paper is to introduce the necessary and sufficient conditions for the matrix of interval numbers Ā = (ā</span><sub style="font-family: verdana; text-align: justify;">nk</sub><span style="font-family: verdana; font-size: small; text-align: justify;">) such that Ā-transform of x = (x</span><sub style="font-family: verdana; text-align: justify;">k</sub><span style="font-family: verdana; font-size: small; text-align: justify;">) belongs to the sets c</span><sub style="font-family: verdana; text-align: justify;">0</sub><sup style="font-family: verdana; text-align: justify;">S(i)</sup><span style="font-family: verdana; font-size: small; text-align: justify;"> ∩ ℓ</span><sup style="font-family: verdana; text-align: justify;">i</sup><sub style="font-family: verdana; text-align: justify;">∞</sub><span style="font-family: verdana; font-size: small; text-align: justify;">, c</span><sup style="font-family: verdana; text-align: justify;">S(i)</sup><span style="font-family: verdana; font-size: small; text-align: justify;"> ∩ ℓ</span><sup style="font-family: verdana; text-align: justify;">i</sup><sub style="font-family: verdana; text-align: justify;">∞</sub><span style="font-family: verdana; font-size: small; text-align: justify;">, where in particular x ∈ c</span><sub style="font-family: verdana; text-align: justify;">0</sub><sup style="font-family: verdana; text-align: justify;">S(i)</sup><span style="font-family: verdana; font-size: small; text-align: justify;"> ∩ ℓ</span><sup style="font-family: verdana; text-align: justify;">i</sup><sub style="font-family: verdana; text-align: justify;">∞</sub><span style="font-family: verdana; font-size: small; text-align: justify;"> and x ∈ c</span><sup style="font-family: verdana; text-align: justify;">S(i)</sup><span style="font-family: verdana; font-size: small; text-align: justify;"> ∩ ℓ</span><sup style="font-family: verdana; text-align: justify;">i</sup><sub style="font-family: verdana; text-align: justify;">∞</sub><span style="font-family: verdana; font-size: small; text-align: justify;"> respectively.</span> ER -