The purpose of this paper is to establish, paralleling a well-known result for definite integrals, the conditional convergence of a family of trigonometric sine series. The fundamental idea is to ...

Abstract: The paper first introduces fuzzy propositional calculus system ℋ, generalized effective inference and integral truth degree of formulas, then proves integral truth degree decreasing theorem ...

Department of Applied Mathematics, Chinese Culture University, Taipei City. The introduction of chaos, fractal, and dynamical system could be found in many classical textbooks, such as Scheinerman [1] ...

Abstract: We prove a number of quantitative stability bounds for the cases of equality in Petz's monotonicity theorem for quasi-relative entropies S f (p||σ) defined in terms of an operator monotone ...