Páles, ZsoltAbdelhamed, Amr Zakaria Mohamed2020-03-212020-03-212020http://hdl.handle.net/2437/282089The aim of this dissertation is to construct a general class of means based on a Chebyshev system, a measurable family of means, and a probability measure. We investigated the comparison, equality, and homogeneity problems of this general mean. Finally, we solved the invariance equation of the arithmetic mean with respect to two weighted Bajraktarevi\'c means.105enMeansarithmetic meanBajraktarevi\'c meansinvariance equationEquality problemscomparison problemhomogeneity problemMatematika- és számítástudományokTermészettudományok