در این مقاله، برای گروه گسسته G=Z*Z_n و یک تابع وزن چند جمله‌ای ω_α، نشان می‌دهیم که جبر برلینگ l^1 (G,ω_α) میانگین‌پذیر ضعیف نیست و گروه دو‌وجهی D_∞=Z_2*Z_2 میانگین‌پذیر است اما l^1 (D_∞,ω) میانگین‌پذیرضعیف نیست. همچنین نشان می‌دهیم برای یک تابع وزن پیوسته ω روی گروه G، جبر برلینگ l^1 (G,ω)، تحت شرایطی اگر میانگین‌پذیرضعیف باشد آنگاه ω کراندار است. تفاصيل المقالة

‎In this paper‎, ‎we prove Jensen's operator inequality for an h-convex function and we point out the results for classes of continuous‎ ‎fields of operators‎. ‎Also‎, ‎some generalizations of Jensen's operator inequality and some properties of the h-convex function are given‎. تفاصيل المقالة

‎An analytical fuzzy solution is achieved by means of the fuzzy d'Alembert formula for the fuzzy one-dimensional homogeneous wave‎ ‎equation in a half-line considering the generalized Hukuhara partial differentiability of the solution‎. ‎In the current article‎, ‎the exclusive‎ ‎solution and the stability of the homogeneous fuzzy wave equations are brought into existence‎. ‎Eventually‎, ‎given the various instances represented‎, ‎the efficacy and accuracy of the method are scrutinized‎. تفاصيل المقالة

In this paper we develop a natural generalization of Schauder basis theory, we termoperator-valued basis or simply ov-basis theory, using operator-algebraic methods. We proveseveral results for ov-basis concerning duality, orthogonality, biorthogonality and minimality.We prove that the operators of a dual ov-basis are continuous. We also dene the concepts ofBessel, Hilbert ov-basis and obtain some characterizations of them. We study orthonormaland Riesz ov-bases for Hilbert spaces. Finally we consider the stability of ov-bases undersmall perturbations. We generalize a result of Paley-Wiener [4] to the situation of ov-basis. تفاصيل المقالة

In this paper, we introduce a new concept of α-ψ-ϕ-contractiveintegral type mappings and establish some new fixed point theorems in complete metric spaces. تفاصيل المقالة