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Sequential Generalized Fractional Ostrowski and Grüss type inequalities for several Banach algebra valued functions

Annals of Communications in Mathematics 2021

, 4 (3)

, 207-225

DOI: https://doi.org/10.62072/acm.2021.040301

AbstractEmploying sequential generalized Caputo fractional left and right vectorial Taylor formulae we establish mixed sequential generalized fractional Ostrowski and Gruss ¨ type inequalities for several Banach algebra valued functions. The estimates are with respect to all norms k·kp , 1 ≤ p ≤ ∞. We finish with applications.
Open AccessArticle

Ulam stability for finite variable quadratic functional equation in Banach algebra

Annals of Communications in Mathematics 2020

, 3 (2)

, 177-184

DOI: https://doi.org/10.62072/acm.2020.030207

AbstractHere, we define a cube sum labeling and cube sum graph. Let G be a (p, q) graph. G is said to be a cube sum graph if there exist a bijection f : V (G) → {0, 1, . . . , p − 1} such that the induced function f ∗ : E(G) → N given by are all distinct. In this paper, we developed the concept of cube sum labeling of some family of graphs like paths, cycle, stars, wheel graph, fan graphs are discussed in this paper.