# Search results

Ruch Biblijny i Liturgiczny > 2016 > 69 > 4

Advances in Difference Equations > 2013 > 2013 > 1 > 1-10

*π*periodic function

*f*belonging to the Lip

*α*( ) class without the monotonicity condition on the generating sequence has been established, which in turn generalizes the results of Lal (Appl. Math. Comput. 209: 346-350, 2009) on a Fourier series.

**MSC:**40G05, 41A10, 42B05, 42B08.

Journal of Inequalities and Applications > 2013 > 2013 > 1 > 1-15

*α*and weighted -classes using product summability with non-increasing weights . In this paper, we determine the degree of approximation of function , conjugate to a 2

*π*-periodic function

*f*belonging to weighted -class by dropping the monotonicity on the...

Studia Gilsoniana > 2021 > 10 > 2 > 293-319

Ethics in Progress > 2020 > 11 > 1 > 61-76

Journal of Inequalities and Applications > 2019 > 2019 > 1 > 1-9

*a*and

*b*, as well as a positive parameter

*p*, are investigated. The logarithmic mean and arithmetic mean are two members of this class. It is shown that, for all values of the parameter

*p*, the set of p-dependent means Mp(a,b) $M_{p} (a,b)$ is bounded above by the mean M∞(a,b) $M_{\infty...

Results in Mathematics > 2019 > 74 > 3 > 1-12

*a*-series and their alternating variants are represented in terms of Quotient mean Mathieu series. By using the Laplace integral formulas and Euler–MacLaurin summation formula for Dirichlet series, some...

The Journal of Analysis > 2019 > 27 > 4 > 943-984

*n*variables mean

*M*is said to be reducible in a certain class of means $$\mathcal {N}$$ N when

*M*can be represented as a composition of a finite number $$M_{0},\ldots ,M_{r}$$ M 0 , … , M r of means belonging to $$\mathcal {N}$$ N , being less than

*n*the number of variables of every $$M_{i}$$ M i . In this paper, a basic classification of reducible means is developed...

Fasciculi Mathematici > 2017 > Nr 59 > 57--74

^{q}is convex or concave for q ≥ 1. Second, by using these results, we present applications to ƒ-divergence measures. At the end, we obtain some bounds for special means of real numbers and new error estimates for the trapezoidal formula.

Annales Mathematicae Silesianae > 2017 > 31 > 1 > 99-106

Journal of Experimental Social Psychology > 2017 > 72 > C > 88-100

Aequationes mathematicae > 2017 > 91 > 3 > 505-525

*n*-variable Jensen inequality, for some natural number $$n\ge 2$$ n ≥ 2 , then, for all $$k\in \{1,\dots , n\}$$ k ∈ { 1 , ⋯ , n } , it fulfills the

*k*-variable Jensen inequality as well. In other words, the arithmetic mean and the Jensen inequality (as a convexity property) are both reducible. Motivated...

Open Mathematics > 2017 > 15 > 1 > 936-947

Społeczeństwo. Edukacja. Język > 2017 > 1(5) > 29-38