Many error inequalities in polynomial interpolation can be found in [1, 7]. These error bounds for interpolating polynomials are usually expressed by means of the norms ‖ · ‖p, 1≤ p ≤∞. Some new error inequalities (for corrected interpolating polynomials) are given in [10, 11]. The last mentioned inequalities are similar to error inequalities obtained in recent years in numerical integration an...

Abstract A new higher-order accurate space-time discontinuous Galerkin (DG) method using the interior penalty flux and basis functions, both in space time, is presented fully analyzed for second-order scalar wave equation. Special attention given to definition of numerical fluxes since they are crucial stability accuracy DG method. The theoretical analysis shows that discretization stable conve...

In many-valued logics with the unit interval as the set of truth values, from the standard negation and the product (or, more generally, from any strict Frank t-norm) all measurable logical functions can be derived, provided that also operations with countable arity are allowed. The question remained open whether there are other t-norms with this property or whether all strict t-norms possess t...

This paper investigates the study of -complex fuzzy sets. The set, where  is a completely distributive lattice, is generalization complex set. fundamental set theoretic operations on sets are discussed properly, including complement, union and intersection. New procedures presented to combine novel concepts -norms -conorms look into conditions that lead comparable representation theorem. W...

The present contribution deals with domination in the framework of continuous t-norms. Basic properties and recent results for continuous Archimedean and continuous ordinal sum t-norms are presented and discussed. The domination property within several families of t-norms is mentioned.

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