% AMAPN template file
% 20 December 2024.

% Default packages (DO NOT EDIT HERE)
\documentclass[12pt]{amsart}
\usepackage{amsmath,amsfonts,amssymb}
\usepackage{hyperref,theoremref}
\usepackage{enumerate,enumitem}
%\usepackage{graphicx}

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\textwidth 16cm
\parskip 1.5mm
\parindent 3mm

% THEOREM Environments (DO NOT EDIT)
\newtheorem{theorem}{Theorem}
\newtheorem{corollary}[theorem]{Corollary}
\newtheorem{lemma}[theorem]{Lemma}
\newtheorem{proposition}[theorem]{Proposition}
\theoremstyle{definition}
\newtheorem{definition}[theorem]{Definition}
\newtheorem{example}[theorem]{Example}
\newtheorem{remark}[theorem]{Remark}
\newtheorem{problem}[theorem]{Problem}
\newtheorem{conjecture}[theorem]{Conjecture}
\newtheorem{notation}[theorem]{Notation}

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% Title
\title[Short title of the article]{Long title of the article}

% Author(s)
% In the \author{} put full names
\author[S. B. Sample]{Stephen B\'ela Sample}
\address{S. B. Sample, Institute of Mathematics and Computer Sciences, University of \'Ozd, H-3600 \'Ozd, Bulcs\'u street 6, Hungary}
\email{sbs@oe.hu}

\author[G. Sampletwo]{George Sampletwo}
\address{G. Sampletwo, Institute of Mathematics, University of Vikings, PO Box 400, 4002 Viking town, Valhalla}
\email{gs2@science.univik.va}

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% For MSC2020-Mathematics Subject Classifications usehttps://mathscinet.ams.org/msnhtml/msc2020.pdf
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% FOOTLINE primary Math. Subject Classification (and secondary if necessary)
\subjclass[2020]{xxxxx} 

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%Write maximum of 6 keywords, separated by commas. Do NOT capitalize keywords.
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% Keywords
\keywords{keyword1, keyword2, other keywords.}
\thanks{If thanks is necessary}
\dedicatory{If dedicatory is necessary}

\begin{document}
	
% Headline (DO NOT EDIT)
\noindent
Acta Mathematica Academiae Paedagogicae
Ny\'{\i}regyh\'aziensis\\
{\bf 134}(1) (2073), 141--153.\\ 
https://www.emis.de/journals/AMAPN
\vspace{1cm}

% ABSTRACT
\begin{abstract}
	Text of the abstract. No more than 120 words.
\end{abstract}

\maketitle

\section{Introduction}

\begin{remark}\label{r1}
	Do NOT capitalize the title, section headings and author names, our class file will do this automatically.
\end{remark}
\begin{remark}\thlabel{r2}	
	For MSC2020-Mathematics Subject Classifications use
	\begin{center}
		\href{https://mathscinet.ams.org/msnhtml/msc2020.pdf}{\tt https://mathscinet.ams.org/msnhtml/msc2020.pdf}
	\end{center}
\end{remark}

\begin{remark}
	Write maximum of 6 keywords, separated by commas. Do NOT capitalize keywords.
\end{remark}

\section{Theorem environments, citing and referring}

\begin{remark}	
	Always use {\tt $\backslash$cite\{\}} for referring to items in the bibliography. Use {\tt $\backslash$eqref\{\}} when referring to equations.
	
	The recommended package {\tt theoremref} allows you to seamlessly refer to theorem like environments by using the {\tt $\backslash$thlabel\{\}} command and then referencing using {\tt $\backslash$thref\{\}}. For example the codes {\tt Remark $\backslash$ref\{r1\}} and {\tt $\backslash$thref\{r2\}} produce the same output: Remark \ref{r1} and \thref{r2}, respectively. For the latter however, you do not need to remember the environment type (i.e., remark, proposition, lemma, theorem, etc\dots), only need to use the label and \LaTeX\ does the rest.
	
	Use {\tt $\backslash$label\{\}} and {\tt $\backslash$thlabel\{\}} only if you refer it, list an item in the bibliography only if you cite it.
	
	Let us see the above guidelines through an example: We follow the standard notions introduced by A. Zsigmond in his paper \cite{Zsi}. 
\begin{theorem}[{\cite{Zsi}} McDonalds' order property]\thlabel{t1}
	Let $n\in\mathbb{P}$. Then
	\begin{equation}\label{e1}
		\sum_{k=1}^n r_{k,n}Q_{k}(f)=O\left(\frac{1}{n}\right).
	\end{equation}
\end{theorem}
We will use \thref{t1} (equation \eqref{e1}) for our proofs. 
\end{remark}

\section{General text editing}

\begin{remark}
		No text or content should extend beyond the margins of the page. The use of extra commands explicitly for vertical or horizontal spacing which can alter journal style is forbidden.
		
		Do NOT use bold font or underline for emphasizing part of the text, use {\tt \{$\backslash$it\}}, {\tt $\backslash$textit\{\}} or {\tt $\backslash$emph\{\}} instead.
\end{remark}
	
\section{Complex formulas}

\begin{remark}
	Remember to type mathematical operators (e.g., $\cos, \log, \mathrm{Ker}, \det, \Im, \Re$) 
	in upshape (roman) font. Use the command %\DeclareMathOperator
	{\tt $\backslash$DeclareMathOperator} or {\tt $\backslash$newcommand} for repeating operators which are not defined by default. Do NOT use {\tt $\backslash$def}.
\end{remark}

\begin{remark}
	For single line equations please use the  {\tt $\backslash$[$\cdots\backslash$]} environment or if you want to label it, use the {\tt equation} environment. Do NOT use \$\$$\cdots$\$\$ for display math mode.
	
	For multiline expressions use {\tt align} ({\tt align*}) or {\tt split} inside the {\tt equation} ({\tt equation*}) environment. The use of obsolete environments such as {\tt eqnarray} ({\tt eqnarray*}) are forbidden. 
	
	In a multiline mathematical formula put the tabulator {\tt \&} directly in front of the equal sign and whenever a new line starts with some operation symbol, it has to be indented by using the command {\tt $\backslash$quad}. For those where this is not feasible because the first or second line is too long or there are several formulas in one line, custom editing is applied. Some examples:
	
\begin{lemma}\label{decomp} We have a multiline equation with optional numbering line by line using {\tt align}
	\begin{align}\thlabel{l1}
		x&=1,\\
		y&=2,\notag\\
		z&=3.
	\end{align}
\end{lemma}

\begin{lemma}\label{decomp2} Let $n\in\mathbb{N}$, then we have a multiline equation with optional numbering using {\tt split} as opposed to automatically number every line as seen in \thref{l1}
	\begin{equation}
		\begin{split}
			K_{2^{n},2^{n+1}-1}^{T}
			&=\sum_{k=0}^{2^{n}-1}t_{2^{n} +k,2^{n+1}-1}D_{2^{n}}+r_{n}\sum_{k=1}^{2^{n}-2}\Delta t_{2^{n} +k,2^{n+1}-1}kK_k\\
			&\quad+r_{n}t_{2^{n+1}-1,2^{n+1}-1}(2^{n}-1)K_{2^{n}-1}\\
			&=\sum_{j=1}^{3} K_{j,n}.
		\end{split}	
	\end{equation}
\end{lemma}
\end{remark}	
	
For proofs always use the {\tt proof} environment. For example:

\begin{proof}
We write 
	\begin{equation*}
			K_{2^{n},2^{n+1}-1}^{T}=\sum_{l=2^{n}}^{2^{n+1}-1}t_{l,2^{n+1}-1}D_{l}
	\end{equation*}
and so on.
\end{proof}

\section{Listing}

Avoid the use of itemize commands for large portion of the text. It is allowed only for listing purpose. To this end, you can use
\begin{itemize}
	\item {\tt itemize},
	\item {\tt enumerate},
	\item or {\tt description}
\end{itemize}
environments! If you are concerned about the indentation of these environments you can use {\tt [leftmargin=*]} as optional argument to preserve horizontal space while using lists:

\begin{enumerate}[leftmargin=*]
	\item {\tt itemize},
	\item {\tt enumerate},
	\item or {\tt description}.
\end{enumerate}
This requires the package {\tt enumitem}.

\section{Figures}

Figures can be placed in the text by using the {\tt figure} environment with the command {\tt $\backslash$includegraphics}. It requires the package
{\tt graphicx}.

\section{Bibliography}

The references have to be given in alphabetical order (based on the surname of the first author) and the style of them has to {\it exactly} match the one can be seen below.

\begin{thebibliography}{9}
	
	\bibitem{SKK}%article
	B. Klein, A. Kohn and S. B. Smith,
	{\it On the divergence of any means of Walsh-Fourier series},
	Proc. Amer. Math. Soc. {\bf 28}(6) (2013), 11--20. 
	
	\bibitem{gog-oni}%article
	\'A. Kom\'aromi and A. Timku,
	{\it On the convergence of subsequences of partial Jacobi-Fourier sums},
	J. Math. Anal. Appl. {\bf 47} (2011), 12--33.
	
	\bibitem{Zsi}%book
	A. Zsigmond, 
	{\it Non-trigonometric series. Vol. I, II}, 
	Third edition, Underwater University Press, Atlantis, 2012.
		
\end{thebibliography}

% RECEIVED (DO NOT EDIT!)

\centerline{{\it Received ?? ???? 20??.}}

\end{document}
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