@article{Aiyub_1, title={Strongly(Vλ, A, Δn(vm),p, q)-summable sequence spaces defined by modulus function and statistical convergence}, volume={34}, url={https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1260}, DOI={10.4067/S0716-09172015000200007}, abstractNote={<span style="font-family: verdana; font-size: small; text-align: justify;">In this paper we introduce strongly (V</span><sup style="font-family: verdana; text-align: justify;">λ</sup><span style="font-family: verdana; font-size: small; text-align: justify;">,A, Δ</span><sup style="font-family: verdana; text-align: justify;">n</sup><sub style="font-family: verdana; text-align: justify;">vm</sub><span style="font-family: verdana; font-size: small; text-align: justify;">,p, q)-summable sequences and give the relation between the spaces of strongly (V</span><sup style="font-family: verdana; text-align: justify;">λ</sup><span style="font-family: verdana; font-size: small; text-align: justify;">,A, Δ</span><sup style="font-family: verdana; text-align: justify;">n</sup><sub style="font-family: verdana; text-align: justify;">vm</sub><span style="font-family: verdana; font-size: small; text-align: justify;">,p, q)-summable sequences and strongly (V</span><sup style="font-family: verdana; text-align: justify;">λ</sup><span style="font-family: verdana; font-size: small; text-align: justify;">,A, Δ</span><sup style="font-family: verdana; text-align: justify;">n</sup><sub style="font-family: verdana; text-align: justify;">vm</sub><span style="font-family: verdana; font-size: small; text-align: justify;">,p, q)-summable sequences with respect to a modulus function when A =(a</span><sub style="font-family: verdana; text-align: justify;">ik</sub><span style="font-family: verdana; font-size: small; text-align: justify;">) is an infinite matrix of complex number, (Δ</span><sup style="font-family: verdana; text-align: justify;">n</sup><sub style="font-family: verdana; text-align: justify;">vm</sub><span style="font-family: verdana; font-size: small; text-align: justify;">) is generalized difference operator, p = (p</span><sub style="font-family: verdana; text-align: justify;">i</sub><span style="font-family: verdana; font-size: small; text-align: justify;">) is a sequence of positive real numbers and q is a seminorm. Also we give the relationship between strongly (V</span><sup style="font-family: verdana; text-align: justify;">λ</sup><span style="font-family: verdana; font-size: small; text-align: justify;">,A, Δ</span><sup style="font-family: verdana; text-align: justify;">n</sup><sub style="font-family: verdana; text-align: justify;">vm</sub><span style="font-family: verdana; font-size: small; text-align: justify;">,p, q) - convergence with respect to a modulus function and strongly S</span><sup style="font-family: verdana; text-align: justify;">λ</sup><span style="font-family: verdana; font-size: small; text-align: justify;">(A, Δ</span><sup style="font-family: verdana; text-align: justify;">n</sup><sub style="font-family: verdana; text-align: justify;">(vm)</sub><span style="font-family: verdana; font-size: small; text-align: justify;">)- statistical convergence.</span>}, number={2}, journal={Proyecciones (Antofagasta, On line)}, author={Aiyub, Mohammad}, year={1}, month={1}, pages={191-203} }