102 research outputs found
Sorelmélet és végtelen sorokkal kapcsolatos egyenlőtlenségek = Theory of series and inequalities concerning infinite series
2003 Ăłta 29 dolgozatom jelent meg (lásd. Math.Rev. ) Ă©s 11 további már közlĂ©sre elfogadott. Mind hazai Ă©s kĂĽlföldi ismert folyĂłirat. Ebben az idĹ‘szakban számos Ăşj osztályát definiáltam számsorozatoknak Ă©s ezekre sikerĂĽlt több klasszikus eredmenyt általánosĂtanom. Ezekhez a vizsgálatokhoz több kĂĽlföldi szerzĹ‘ is csatlakozott. Több dolgozatom foglalkozik sorelmĂ©leti, beágyazási, erĹ‘s approximacios kĂ©rdĂ©sekkel is. BetegsĂ©gem miatt több kĂĽlföldi konferencia-felkĂ©rĂ©st is kĂ©nytelen voltam elhárĂtani, Ăgy ezeken a rovatokon sok pĂ©nz megmaradt. Ăšgy gondolom, hogy csak ezen a terĂĽleten nem teljesĂtettem a tervet. A fenti okbĂłl Ăşjabb OTKA pályázatot nem is adtam be. | I have published 29 papers and 11 is accepted. I defined more classes of sequences and extended several classical theorems for these classes. I want to recall only one of my results. Among others I extended the classical Chaundy-Jolliffe theorem on the uniform convergence of sine series to a wide class of sequences called ''the class of mean rest bounded variation sequences''. This is the widest class where the Chaundy- Jolliffe theorem holds. I cite from the Math. Re. the following two facts to illustrate the impact of this result. Author Citations for '' LászlĂł Leindler '' LászlĂł Leindler is cited 139 times by 58 authors in the MR Citation Database Most Cited Publications Citations Publication 11 http://www.ams.org/mathscinet-getitem?mr=1941748>MR1941748 http://www.ams.org/mathscinet-getitem?mr=1941748>(2003m:42010) http://www.ams.org/mathscinet/search/publications.html?pg1=IID&s1=112170>Leindler, L. A new class of numerical sequences and its applications to sine and cosine series. http://www.ams.org/mathscinet/search/journaldoc.html?cn=Anal_Math>Anal. Math. http://www.ams.org/mathscinet/search/publications.html?pg1=ISSI&s1=205696>28 http://www.ams.org/mathscinet/search/publications.html?pg1=ISSI&s1=205696>(2002), http://www.ams.org/mathscinet/search/publications.html?pg1=ISSI&s1=205696>no. 4, 279--286. I also proved some theorems for orthogonal series, embbedig type and approximation type. More authors have joined to my results. I had missed more invitations because of my health problems
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