Schindl, Gerhard On Orlicz classes defined in terms of associated weight functions. (English) Zbl 07891503 Monatsh. Math. 204, No. 4, 919-968 (2024). MSC: 26A12 26A48 26A51 46E30 PDFBibTeX XMLCite \textit{G. Schindl}, Monatsh. Math. 204, No. 4, 919--968 (2024; Zbl 07891503) Full Text: DOI arXiv OA License
Belkahla, Sywar; Khamessi, Bilel; El Abidine, Zagharide Zine Radial positive solutions for problems involving \(\phi \)-Laplacian operators with weights. (English) Zbl 07878151 J. Math. Phys. Anal. Geom. 20, No. 2, 153-171 (2024). MSC: 26A12 34A34 34B15 34B18 34B27 PDFBibTeX XMLCite \textit{S. Belkahla} et al., J. Math. Phys. Anal. Geom. 20, No. 2, 153--171 (2024; Zbl 07878151) Full Text: Link
Jiménez-Garrido, Javier; Miguel-Cantero, Ignacio; Sanz, Javier; Schindl, Gerhard Stability properties of ultraholomorphic classes of Roumieu-type defined by weight matrices. (English) Zbl 07851917 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 118, No. 3, Paper No. 85, 30 p. (2024). MSC: 26A12 46E10 26A48 46A13 PDFBibTeX XMLCite \textit{J. Jiménez-Garrido} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 118, No. 3, Paper No. 85, 30 p. (2024; Zbl 07851917) Full Text: DOI arXiv OA License
Han, Qi; Liu, Jingbo; Malik, Nadeem Borel lemma: geometric progression vs. Riemann zeta-function. arXiv:2401.14481 Preprint, arXiv:2401.14481 [math.CA] (2024). MSC: 26A12 26A48 30D35 BibTeX Cite \textit{Q. Han} et al., ``Borel lemma: geometric progression vs. Riemann zeta-function'', Preprint, arXiv:2401.14481 [math.CA] (2024) Full Text: arXiv OA License
Schindl, Gerhard On the class of almost subadditive weight functions. arXiv:2401.10933 Preprint, arXiv:2401.10933 [math.CV] (2024). MSC: 26A12 26A48 BibTeX Cite \textit{G. Schindl}, ``On the class of almost subadditive weight functions'', Preprint, arXiv:2401.10933 [math.CV] (2024) Full Text: DOI arXiv OA License
Belkahla, Sywar; El Abidine, Zagharide Zine Sharp asymptotic analysis of positive solutions of a combined Sturm-Liouville problem. (English) Zbl 07803634 Mat. Vesn. 75, No. 1, 58-70 (2023). MSC: 26A12 34B16 34B18 34B27 PDFBibTeX XMLCite \textit{S. Belkahla} and \textit{Z. Z. El Abidine}, Mat. Vesn. 75, No. 1, 58--70 (2023; Zbl 07803634) Full Text: DOI
Řehák, Pavel Regular variation: from scale invariance to convergence tests. (Czech) Zbl 07790641 Pokroky Mat. Fyz. Astron. 68, No. 1, 1-28 (2023). MSC: 26A12 PDFBibTeX XMLCite \textit{P. Řehák}, Pokroky Mat. Fyz. Astron. 68, No. 1, 1--28 (2023; Zbl 07790641) Full Text: Link
Nenning, David Nicolas; Schindl, Gerhard Ultradifferentiable classes of entire functions. (English) Zbl 07777050 Adv. Oper. Theory 8, No. 4, Paper No. 67, 38 p. (2023). MSC: 26A12 30D15 34G10 46A13 46E10 47B02 PDFBibTeX XMLCite \textit{D. N. Nenning} and \textit{G. Schindl}, Adv. Oper. Theory 8, No. 4, Paper No. 67, 38 p. (2023; Zbl 07777050) Full Text: DOI arXiv OA License
Omey, Edward; Cadena, Meitner A Seneta’s conjecture and the Williamson transform. (English) Zbl 1538.26005 Sahand Commun. Math. Anal. 20, No. 4, 227-241 (2023). MSC: 26A12 60E05 PDFBibTeX XMLCite \textit{E. Omey} and \textit{M. Cadena}, Sahand Commun. Math. Anal. 20, No. 4, 227--241 (2023; Zbl 1538.26005) Full Text: DOI
Horst, Ulrich; Xu, Wei Second-Order Regular Variation and Second-Order Approximation of Hawkes Processes. arXiv:2311.02655 Preprint, arXiv:2311.02655 [math.PR] (2023). MSC: 26A12 40E05 60G55 60K05 BibTeX Cite \textit{U. Horst} and \textit{W. Xu}, ``Second-Order Regular Variation and Second-Order Approximation of Hawkes Processes'', Preprint, arXiv:2311.02655 [math.PR] (2023) Full Text: arXiv OA License
Schindl, Gerhard On the regularization of sequences and associated weight functions. arXiv:2307.07902 Preprint, arXiv:2307.07902 [math.CA] (2023). MSC: 26A12 26A48 26A51 BibTeX Cite \textit{G. Schindl}, ``On the regularization of sequences and associated weight functions'', Preprint, arXiv:2307.07902 [math.CA] (2023) Full Text: DOI arXiv OA License
Lamby, Thomas; Nicolay, Samuel Some remarks on the Boyd functions related to the admissible sequences. (English) Zbl 1517.26004 Z. Anal. Anwend. 41, No. 1-2, 211-227 (2022). MSC: 26A12 46B70 46E35 PDFBibTeX XMLCite \textit{T. Lamby} and \textit{S. Nicolay}, Z. Anal. Anwend. 41, No. 1--2, 211--227 (2022; Zbl 1517.26004) Full Text: DOI
Timotić, Valentina; Djurčić, Dragan; Žižović, Mališa R. On rapid equivalence and translational rapid equivalence. (English) Zbl 1513.26005 Kragujevac J. Math. 46, No. 2, 259-265 (2022). MSC: 26A12 40A05 91A05 PDFBibTeX XMLCite \textit{V. Timotić} et al., Kragujevac J. Math. 46, No. 2, 259--265 (2022; Zbl 1513.26005) Full Text: Link
Schindl, Gerhard On subadditivity-like conditions for associated weight functions. (English) Zbl 1501.26001 Bull. Belg. Math. Soc. - Simon Stevin 28, No. 3, 399-427 (2022). Reviewer: Edward Omey (Brussel) MSC: 26A12 26A48 40A05 46A13 46E10 PDFBibTeX XMLCite \textit{G. Schindl}, Bull. Belg. Math. Soc. - Simon Stevin 28, No. 3, 399--427 (2022; Zbl 1501.26001) Full Text: arXiv
Omey, Edward; Cadena, Meitner Analyzing a Seneta’s conjecture by using the Williamson transform. arXiv:2211.04565 Preprint, arXiv:2211.04565 [math.CA] (2022). MSC: 26A12 60E05 BibTeX Cite \textit{E. Omey} and \textit{M. Cadena}, ``Analyzing a Seneta's conjecture by using the Williamson transform'', Preprint, arXiv:2211.04565 [math.CA] (2022) Full Text: arXiv OA License
Kevei, Péter On a conjecture of Seneta on regular variation of truncated moments. (English) Zbl 1474.26008 Publ. Inst. Math., Nouv. Sér. 109(123), 77-82 (2021). MSC: 26A12 60E05 PDFBibTeX XMLCite \textit{P. Kevei}, Publ. Inst. Math., Nouv. Sér. 109(123), 77--82 (2021; Zbl 1474.26008) Full Text: DOI
Paris, R B The numerical evaluation of the Riesz function. arXiv:2107.02800 Preprint, arXiv:2107.02800 [math.CA] (2021). MSC: 26A12 41A60 30B10 30E15 33E20 BibTeX Cite \textit{R B Paris}, ``The numerical evaluation of the Riesz function'', Preprint, arXiv:2107.02800 [math.CA] (2021) Full Text: arXiv OA License
Djurčić, Dragan; Elez, Nebojša; Timotić, Valentina Logarithmic (translationally) rapidly varying sequences and selection principles. (English) Zbl 1474.26005 Publ. Inst. Math., Nouv. Sér. 107(121), 45-51 (2020). MSC: 26A12 40A05 PDFBibTeX XMLCite \textit{D. Djurčić} et al., Publ. Inst. Math., Nouv. Sér. 107(121), 45--51 (2020; Zbl 1474.26005) Full Text: DOI
Bingham, Nicholas H.; Ostaszewski, Adam J. Sequential regular variation: extensions of Kendall’s theorem. (English) Zbl 1466.26004 Q. J. Math. 71, No. 4, 1171-1200 (2020). MSC: 26A12 PDFBibTeX XMLCite \textit{N. H. Bingham} and \textit{A. J. Ostaszewski}, Q. J. Math. 71, No. 4, 1171--1200 (2020; Zbl 1466.26004) Full Text: DOI arXiv
Georgopoulos, Panagiotis; Gryllakis, Constantinos Corrigendum to: “On the speed of convergence in the strong density theorem”. (English) Zbl 1442.26002 Real Anal. Exch. 45, No. 2, 487-488 (2020). MSC: 26A12 28A05 40A05 PDFBibTeX XMLCite \textit{P. Georgopoulos} and \textit{C. Gryllakis}, Real Anal. Exch. 45, No. 2, 487--488 (2020; Zbl 1442.26002) Full Text: Euclid
Klesov, O. I.; Steinebach, J. G. On preserving the limit points of corresponding objects. (English) Zbl 1442.26003 J. Math. Anal. Appl. 486, No. 2, Article ID 123916, 8 p. (2020). MSC: 26A12 40A05 PDFBibTeX XMLCite \textit{O. I. Klesov} and \textit{J. G. Steinebach}, J. Math. Anal. Appl. 486, No. 2, Article ID 123916, 8 p. (2020; Zbl 1442.26003) Full Text: DOI
Omey, Edward; Cadena, Meitner New results on slowly varying functions in the Zygmund sense. (English) Zbl 1443.26002 Proc. Japan Acad., Ser. A 96, No. 6, 45-49 (2020). Reviewer: İbrahim Çanak (İzmir) MSC: 26A12 28A10 45M05 60G70 PDFBibTeX XMLCite \textit{E. Omey} and \textit{M. Cadena}, Proc. Japan Acad., Ser. A 96, No. 6, 45--49 (2020; Zbl 1443.26002) Full Text: DOI Euclid
Řehák, Pavel Kummer test and regular variation. (English) Zbl 1439.26018 Monatsh. Math. 192, No. 2, 419-426 (2020). MSC: 26A12 26E70 40A05 PDFBibTeX XMLCite \textit{P. Řehák}, Monatsh. Math. 192, No. 2, 419--426 (2020; Zbl 1439.26018) Full Text: DOI
Kevei, Peter On a conjecture of Seneta. arXiv:2007.04668 Preprint, arXiv:2007.04668 [math.PR] (2020). MSC: 26A12 60E05 BibTeX Cite \textit{P. Kevei}, ``On a conjecture of Seneta'', Preprint, arXiv:2007.04668 [math.PR] (2020) Full Text: arXiv OA License
Georgopoulos, Panagiotis; Gryllakis, Constantinos On the speed of convergence in the strong density theorem. (English) Zbl 1426.26004 Real Anal. Exch. 44, No. 1, 167-180 (2019); corrigendum ibid. 45, No. 2, 487-488 (2020). Reviewer: George Stoica (Saint John) MSC: 26A12 28A05 40A05 PDFBibTeX XMLCite \textit{P. Georgopoulos} and \textit{C. Gryllakis}, Real Anal. Exch. 44, No. 1, 167--180 (2019; Zbl 1426.26004) Full Text: DOI arXiv Euclid
Cadena, M.; Kratz, M.; Omey, Edward On functions bounded by Karamata functions. (English) Zbl 1416.26004 J. Math. Sci., New York 237, No. 5, 621-630 (2019). MSC: 26A12 PDFBibTeX XMLCite \textit{M. Cadena} et al., J. Math. Sci., New York 237, No. 5, 621--630 (2019; Zbl 1416.26004) Full Text: DOI
Seneta, Eugene Slowly varying functions in the Zygmund sense and generalized regular variation. (English) Zbl 1414.26007 J. Math. Anal. Appl. 475, No. 2, 1647-1657 (2019). Reviewer: George Stoica (Saint John) MSC: 26A12 60G10 PDFBibTeX XMLCite \textit{E. Seneta}, J. Math. Anal. Appl. 475, No. 2, 1647--1657 (2019; Zbl 1414.26007) Full Text: DOI
Khabibullin, Bulat N. Variations on the proximate order. arXiv:1912.00746 Preprint, arXiv:1912.00746 [math.CV] (2019). MSC: 26A12 30D15 32A15 31A05 31B05 BibTeX Cite \textit{B. N. Khabibullin}, ``Variations on the proximate order'', Preprint, arXiv:1912.00746 [math.CV] (2019) Full Text: arXiv OA License
Jędrzejewski, Jacek Marek Asymmetry in real functions theory. (English) Zbl 1513.26004 Sci. Issues, Jan Długosz Univ. Częst., Math. 23, 11-24 (2018). MSC: 26A12 26A03 PDFBibTeX XMLCite \textit{J. M. Jędrzejewski}, Sci. Issues, Jan Długosz Univ. Częst., Math. 23, 11--24 (2018; Zbl 1513.26004) Full Text: DOI
Řehák, Pavel The Karamata integration theorem on time scales and its applications in dynamic and difference equations. (English) Zbl 1427.26001 Appl. Math. Comput. 338, 487-506 (2018). MSC: 26A12 26E70 34E05 34N05 39A12 39A22 PDFBibTeX XMLCite \textit{P. Řehák}, Appl. Math. Comput. 338, 487--506 (2018; Zbl 1427.26001) Full Text: DOI
Pavlenkov, V. V. Karamata integral representations for functions generalizing regularly varying functions. (English. Ukrainian original) Zbl 1435.26002 Ukr. Math. J. 69, No. 9, 1496-1505 (2018); translation from Ukr. Mat. Zh. 69, No. 9, 1289-1296 (2017). Reviewer: Pavel Rehak (Brno) MSC: 26A12 PDFBibTeX XMLCite \textit{V. V. Pavlenkov}, Ukr. Math. J. 69, No. 9, 1496--1505 (2018; Zbl 1435.26002); translation from Ukr. Mat. Zh. 69, No. 9, 1289--1296 (2017) Full Text: DOI
Omey, Edward; Van Gulck, Stefan; Vesilo, Rein Semi-heavy tails. (English) Zbl 1407.26011 Lith. Math. J. 58, No. 4, 480-499 (2018). MSC: 26A12 60E05 PDFBibTeX XMLCite \textit{E. Omey} et al., Lith. Math. J. 58, No. 4, 480--499 (2018; Zbl 1407.26011) Full Text: DOI Link
Grahl, Jürgen; Nevo, Shahar On the growth of real functions and their derivatives. (English) Zbl 1400.26007 Real Anal. Exch. 43, No. 2, 333-346 (2018). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 26A12 26D10 PDFBibTeX XMLCite \textit{J. Grahl} and \textit{S. Nevo}, Real Anal. Exch. 43, No. 2, 333--346 (2018; Zbl 1400.26007) Full Text: DOI arXiv Euclid
Hammond, Christopher N. B.; Omey, Edward Regular Variation and Raabe. arXiv:1808.01898 Preprint, arXiv:1808.01898 [math.CA] (2018). MSC: 26A12 40A05 BibTeX Cite \textit{C. N. B. Hammond} and \textit{E. Omey}, ``Regular Variation and Raabe'', Preprint, arXiv:1808.01898 [math.CA] (2018) Full Text: arXiv OA License
Braĭchev, Georgiĭ Genrikhovich Two-sided estimates for the relative growth of functions and their derivatives. (Russian. English summary) Zbl 1463.26002 Ufim. Mat. Zh. 9, No. 3, 18-26 (2017); translation in Ufa Math. J. 9, No. 3, 18-25 (2017). MSC: 26A12 30D15 PDFBibTeX XMLCite \textit{G. G. Braĭchev}, Ufim. Mat. Zh. 9, No. 3, 18--26 (2017; Zbl 1463.26002); translation in Ufa Math. J. 9, No. 3, 18--25 (2017) Full Text: DOI MNR
Cadena, Meitner; Kratz, Marie; Omey, Edward On the order of functions at infinity. (English) Zbl 1379.26004 J. Math. Anal. Appl. 452, No. 1, 109-125 (2017). Reviewer: Pavel Rehak (Brno) MSC: 26A12 60G70 PDFBibTeX XMLCite \textit{M. Cadena} et al., J. Math. Anal. Appl. 452, No. 1, 109--125 (2017; Zbl 1379.26004) Full Text: DOI
El Arrouchi, Mohamed Characterization of tail distributions based on record values by using the Beurling’s Tauberian theorem. (English) Zbl 1370.26006 Extremes 20, No. 1, 111-120 (2017). MSC: 26A12 40E05 62G30 PDFBibTeX XMLCite \textit{M. El Arrouchi}, Extremes 20, No. 1, 111--120 (2017; Zbl 1370.26006) Full Text: DOI
Iliev, Anton; Kyurkchiev, Nikolay; Markov, Svetoslav On the Hausdorff distance between the shifted Heaviside step function and the transmuted Stannard growth function. (English) Zbl 1465.26001 Biomath 5, No. 2, 10-15 (2016). MSC: 26A12 PDFBibTeX XMLCite \textit{A. Iliev} et al., Biomath 5, No. 2, 10--15 (2016; Zbl 1465.26001) Full Text: DOI OA License
Stuart, Christopher Calculating the instantaneous growth (or decay) factor. (English) Zbl 1367.26012 Pi Mu Epsilon J. 14, No. 5, 345-347 (2016). MSC: 26A12 26A24 PDFBibTeX XMLCite \textit{C. Stuart}, Pi Mu Epsilon J. 14, No. 5, 345--347 (2016; Zbl 1367.26012)
Carro, María J.; Domingo-Salazar, Carlos Pointwise bounds for integral type operators. (English) Zbl 1353.26003 Math. Nachr. 289, No. 11-12, 1386-1395 (2016). Reviewer: Sorin-Mihai Grad (Chemnitz) MSC: 26A12 47A63 PDFBibTeX XMLCite \textit{M. J. Carro} and \textit{C. Domingo-Salazar}, Math. Nachr. 289, No. 11--12, 1386--1395 (2016; Zbl 1353.26003) Full Text: DOI
Balcerzak, Marek; Majchrzycki, Adam; Strobin, Filip Typical behaviour of integrable functions at infinity. (English) Zbl 1351.26005 Indag. Math., New Ser. 27, No. 4, 893-901 (2016). Reviewer: Piotr Sworowski (Bydgoszcz) MSC: 26A12 PDFBibTeX XMLCite \textit{M. Balcerzak} et al., Indag. Math., New Ser. 27, No. 4, 893--901 (2016; Zbl 1351.26005) Full Text: DOI
Fenton, P. C. On a lemma of Bergweiler. (English) Zbl 1354.26003 Agranovsky, Mark L. (ed.) et al., Complex analysis and dynamical systems VI. Part 2: Complex analysis, quasiconformal mappings, complex dynamics. Proceedings of the 6th international conference on complex analysis and dynamical systems in honor of David Shoikhet on the occasion of his sixtieth birthday, Nahariya, Israel, May 19–24, 2013. Providence, RI: American Mathematical Society (AMS); Ramat Gan: Bar-Ilan University (ISBN 978-1-4704-1703-1/pbk; 978-1-4704-3206-5/ebook). Contemporary Mathematics 667. Israel Mathematical Conference Proceedings, 79-81 (2016). Reviewer: Konstantin Malyutin (Sumy) MSC: 26A12 30D35 PDFBibTeX XMLCite \textit{P. C. Fenton}, Contemp. Math. 667, 79--81 (2016; Zbl 1354.26003) Full Text: DOI
Maier, Helmut; Rassias, Michael Th. The rate of growth of moments of certain cotangent sums. (English) Zbl 1345.26006 Aequationes Math. 90, No. 3, 581-595 (2016). Reviewer: Cristinel Mortici (Târgovişte) MSC: 26A12 11L03 PDFBibTeX XMLCite \textit{H. Maier} and \textit{M. Th. Rassias}, Aequationes Math. 90, No. 3, 581--595 (2016; Zbl 1345.26006) Full Text: DOI arXiv
Timotić, Valentina; Djurčić, Dragan; Nikolić, Rale M. On slowly varying sequences. (English) Zbl 1474.26009 Filomat 29, No. 1, 7-12 (2015). MSC: 26A12 40A05 PDFBibTeX XMLCite \textit{V. Timotić} et al., Filomat 29, No. 1, 7--12 (2015; Zbl 1474.26009) Full Text: DOI
Elez, Nebojša; Vladičić, Vladimir Integral properties of rapidly and regularly varying functions. (English) Zbl 1474.26007 Publ. Inst. Math., Nouv. Sér. 98(112), 91-96 (2015). MSC: 26A12 26D15 PDFBibTeX XMLCite \textit{N. Elez} and \textit{V. Vladičić}, Publ. Inst. Math., Nouv. Sér. 98(112), 91--96 (2015; Zbl 1474.26007) Full Text: DOI EMIS
Bingham, N. H. On scaling and regular variation. (English) Zbl 1474.26004 Publ. Inst. Math., Nouv. Sér. 97(111), 161-174 (2015). MSC: 26A12 PDFBibTeX XMLCite \textit{N. H. Bingham}, Publ. Inst. Math., Nouv. Sér. 97(111), 161--174 (2015; Zbl 1474.26004) Full Text: DOI EMIS
Tang, Tong; Pan, Yifei; Wang, Mei An increasing function with infinitely changing convexity. (English) Zbl 1336.26003 Houston J. Math. 41, No. 4, 1153-1161 (2015). Reviewer: Sergei V. Rogosin (Minsk) MSC: 26A12 26-01 26A51 26B25 PDFBibTeX XMLCite \textit{T. Tang} et al., Houston J. Math. 41, No. 4, 1153--1161 (2015; Zbl 1336.26003)
Elez, Nebojša; Djurčic, Dragan Representation and characterization of rapidly varying functions. (English) Zbl 1321.26003 Hacet. J. Math. Stat. 44, No. 2, 317-322 (2015). MSC: 26A12 PDFBibTeX XMLCite \textit{N. Elez} and \textit{D. Djurčic}, Hacet. J. Math. Stat. 44, No. 2, 317--322 (2015; Zbl 1321.26003)
Ostaszewski, A. J. Beurling regular variation, Bloom dichotomy, and the Gołąb-Schinzel functional equation. (English) Zbl 1323.26004 Aequationes Math. 89, No. 3, 725-744 (2015). Reviewer: Gian Luigi Forti (Milano) MSC: 26A12 39B22 34D05 39A20 PDFBibTeX XMLCite \textit{A. J. Ostaszewski}, Aequationes Math. 89, No. 3, 725--744 (2015; Zbl 1323.26004) Full Text: DOI
Cadena, Meitner Revisiting extensions of regularly varying functions. arXiv:1502.06488 Preprint, arXiv:1502.06488 [math.CA] (2015). MSC: 26A12 60F10 BibTeX Cite \textit{M. Cadena}, ``Revisiting extensions of regularly varying functions'', Preprint, arXiv:1502.06488 [math.CA] (2015) Full Text: arXiv OA License
Elez, Nebojša; Djurčić, Dragan Rapid variability and Karamata’s integral theorem. (English) Zbl 1474.26006 Filomat 28, No. 3, 487-492 (2014). MSC: 26A12 PDFBibTeX XMLCite \textit{N. Elez} and \textit{D. Djurčić}, Filomat 28, No. 3, 487--492 (2014; Zbl 1474.26006) Full Text: DOI
Fleige, Andreas Characterizations of monotone \(\mathcal O\)-regularly varying functions by means of indefinite eigenvalue problems and HELP type inequalities. (English) Zbl 1310.26004 J. Math. Anal. Appl. 412, No. 1, 345-359 (2014). MSC: 26A12 34L05 PDFBibTeX XMLCite \textit{A. Fleige}, J. Math. Anal. Appl. 412, No. 1, 345--359 (2014; Zbl 1310.26004) Full Text: DOI
Li, Lin; Chen, Jingmin Iterative roots of piecewise monotonic functions with finite nonmonotonicity height. (English) Zbl 1308.26007 J. Math. Anal. Appl. 411, No. 1, 395-404 (2014). MSC: 26A12 PDFBibTeX XMLCite \textit{L. Li} and \textit{J. Chen}, J. Math. Anal. Appl. 411, No. 1, 395--404 (2014; Zbl 1308.26007) Full Text: DOI
Ando, Hiroshi; Horiuchi, Toshio; Nakai, Eiichi Some properties of slowly increasing functions. (English) Zbl 1309.26001 Math. J. Ibaraki Univ. 46, 37-49 (2014). MSC: 26A12 34A05 PDFBibTeX XMLCite \textit{H. Ando} et al., Math. J. Ibaraki Univ. 46, 37--49 (2014; Zbl 1309.26001) Full Text: DOI
Lou, Hongwei A short proof of Stirling’s formula. (English) Zbl 1296.26012 Am. Math. Mon. 121, No. 2, 154-157 (2014). Reviewer: Edward Omey (Brussels) MSC: 26A12 26A09 33B15 PDFBibTeX XMLCite \textit{H. Lou}, Am. Math. Mon. 121, No. 2, 154--157 (2014; Zbl 1296.26012) Full Text: DOI arXiv
Omey, Edward On the class gamma and related classes of functions. (English) Zbl 1313.26003 Publ. Inst. Math., Nouv. Sér. 93(107), 1-18 (2013). Reviewer: Slobodanka Janković (Beograd) MSC: 26A12 33B15 PDFBibTeX XMLCite \textit{E. Omey}, Publ. Inst. Math., Nouv. Sér. 93(107), 1--18 (2013; Zbl 1313.26003) Full Text: DOI
Buldygin, V. V.; Klesov, O. I.; Steinebach, J. G. Asymptotic properties of absolutely continuous functions and strong laws of large numbers for renewal processes. (English. Ukrainian original) Zbl 1301.26006 Theory Probab. Math. Stat. 87, 1-12 (2013); translation from Teor. Jmovirn. Mat. Stat. 87, 1-11 (2012). MSC: 26A12 26A48 PDFBibTeX XMLCite \textit{V. V. Buldygin} et al., Theory Probab. Math. Stat. 87, 1--12 (2013; Zbl 1301.26006); translation from Teor. Jmovirn. Mat. Stat. 87, 1--11 (2012) Full Text: DOI
Bingham, N. H.; Ostaszewski, A. J. The Steinhaus theorem and regular variation: de Bruijn and after. (English) Zbl 1303.26003 Indag. Math., New Ser. 24, No. 4, 679-692 (2013). Reviewer: Pavel Rehak (Brno) MSC: 26A12 26A21 28C10 PDFBibTeX XMLCite \textit{N. H. Bingham} and \textit{A. J. Ostaszewski}, Indag. Math., New Ser. 24, No. 4, 679--692 (2013; Zbl 1303.26003) Full Text: DOI
Vladičić, Vladimir; Elez, Nebojša Asymptotic properties of rapidly varying functions. (English) Zbl 1299.26002 Math. Morav. 17, No. 1, 75-78 (2013). Reviewer: Slobodanka Janković (Beograd) MSC: 26A12 PDFBibTeX XMLCite \textit{V. Vladičić} and \textit{N. Elez}, Math. Morav. 17, No. 1, 75--78 (2013; Zbl 1299.26002)
Omey, Edward The extended gamma class and applications. (English) Zbl 1276.26003 Ramanujan J. 31, No. 3, 281-299 (2013). MSC: 26A12 33B99 39B22 34D05 PDFBibTeX XMLCite \textit{E. Omey}, Ramanujan J. 31, No. 3, 281--299 (2013; Zbl 1276.26003) Full Text: DOI
Buldygin, V. V.; Pavlenkov, V. V. Karamata theorem for regularly log-periodic functions. (English. Ukrainian original) Zbl 1278.26002 Ukr. Math. J. 64, No. 11, 1635-1657 (2013); translation from Ukr. Mat. Zh. 64, No. 11, 1443-1463 (2012). Reviewer: Edward Omey (Brussels) MSC: 26A12 44A20 45M05 PDFBibTeX XMLCite \textit{V. V. Buldygin} and \textit{V. V. Pavlenkov}, Ukr. Math. J. 64, No. 11, 1635--1657 (2013; Zbl 1278.26002); translation from Ukr. Mat. Zh. 64, No. 11, 1443--1463 (2012) Full Text: DOI
Karakostas, George L. Fractional hyperexponentials and Hardy’s order of infinity via a solution of Abel’s equation. (English) Zbl 1275.26005 Indian J. Math. 55, No. 1, 101-121 (2013). MSC: 26A12 26A18 26A21 45D05 PDFBibTeX XMLCite \textit{G. L. Karakostas}, Indian J. Math. 55, No. 1, 101--121 (2013; Zbl 1275.26005)
Elez, Nebojša; Djurčić, Dragan Some properties of rapidly varying functions. (English) Zbl 1264.26003 J. Math. Anal. Appl. 401, No. 2, 888-895 (2013). MSC: 26A12 PDFBibTeX XMLCite \textit{N. Elez} and \textit{D. Djurčić}, J. Math. Anal. Appl. 401, No. 2, 888--895 (2013; Zbl 1264.26003) Full Text: DOI
Buldygin, V. V.; Klesov, O. I.; Steinebach, J. G. Equivalent monotone versions of PRV functions. (English) Zbl 1264.26002 J. Math. Anal. Appl. 401, No. 2, 526-533 (2013). MSC: 26A12 PDFBibTeX XMLCite \textit{V. V. Buldygin} et al., J. Math. Anal. Appl. 401, No. 2, 526--533 (2013; Zbl 1264.26002) Full Text: DOI
Shang, Yilun Functions of \(\alpha\)-slow increase. (English) Zbl 1314.26003 Bull. Math. Anal. Appl. 4, No. 1, 226-230 (2012). MSC: 26A12 26A06 PDFBibTeX XMLCite \textit{Y. Shang}, Bull. Math. Anal. Appl. 4, No. 1, 226--230 (2012; Zbl 1314.26003) Full Text: Link
Djurčić, Dragan; Konjokrad, Valentina; Nikolić, Rale M. Asymptotic similarity relation and generalized inverse. (English) Zbl 1289.26002 Filomat 26, No. 5, 1075-1080 (2012). Reviewer: Slobodanka Janković (Beograd) MSC: 26A12 PDFBibTeX XMLCite \textit{D. Djurčić} et al., Filomat 26, No. 5, 1075--1080 (2012; Zbl 1289.26002) Full Text: DOI
Ando, Hiroshi; Horiuchi, Toshio; Nakai, Eiichi Construction of slowly increasing functions. (English) Zbl 1276.26002 Sci. Math. Jpn. 75, No. 2, 187-201 (2012). MSC: 26A12 26A18 PDFBibTeX XMLCite \textit{H. Ando} et al., Sci. Math. Jpn. 75, No. 2, 187--201 (2012; Zbl 1276.26002) Full Text: Link
Opic, Bohumír Continuous and compact embeddings of Bessel-potential-type spaces. (English) Zbl 1261.26002 Brown, B. Malcolm (ed.) et al., Spectral theory, function spaces and inequalities. New techniques and recent trends. Dedicated to David Edmund and Des Evans to their 80th and 70th birthdays. Berlin: Springer (ISBN 978-3-0348-0262-8/hbk; 978-3-0348-0263-5/ebook). Operator Theory: Advances and Applications 219, 157-196 (2012). Reviewer: Edward Omey (Brussels) MSC: 26A12 46E30 46E35 26A15 26A16 47B38 26D10 26D15 PDFBibTeX XMLCite \textit{B. Opic}, Oper. Theory: Adv. Appl. 219, 157--196 (2012; Zbl 1261.26002) Full Text: DOI
Qi, Feng; Wang, Shu-Hong Complete monotonicity, completely monotonic degree, integral representations, and an inequality related to the exponential, trigamma, and modified Bessel functions. arXiv:1210.2012 Preprint, arXiv:1210.2012 [math.CA] (2012). MSC: 26A12 26A48 26D07 30E20 33B10 33B15 33C10 33C20 44A10 BibTeX Cite \textit{F. Qi} and \textit{S.-H. Wang}, ``Complete monotonicity, completely monotonic degree, integral representations, and an inequality related to the exponential, trigamma, and modified Bessel functions'', Preprint, arXiv:1210.2012 [math.CA] (2012) Full Text: DOI arXiv OA License
Řehák, Pavel; Vítovec, Jiří \(q\)-Karamata functions and second order \(q\)-difference equations. (English) Zbl 1340.26002 Electron. J. Qual. Theory Differ. Equ. 2011, Paper No. 24, 20 p. (2011). MSC: 26A12 39A12 39A13 PDFBibTeX XMLCite \textit{P. Řehák} and \textit{J. Vítovec}, Electron. J. Qual. Theory Differ. Equ. 2011, Paper No. 24, 20 p. (2011; Zbl 1340.26002) Full Text: DOI OA License
Djurčić, Dragan; Nikolić, Rale M.; Torgašev, Aleksandar The weak and strong asymptotic equivalence relations and the generalized inverse. (English) Zbl 1283.26002 Lith. Math. J. 51, No. 4, 472-476 (2011). Reviewer: Edward Omey (Brussels) MSC: 26A12 PDFBibTeX XMLCite \textit{D. Djurčić} et al., Lith. Math. J. 51, No. 4, 472--476 (2011; Zbl 1283.26002) Full Text: DOI
Djurčić, D.; Mitrović, I.; Janjić, M. The weak and the strong equivalence relation and the asymptotic inversion. (English) Zbl 1265.26005 Filomat 25, No. 4, 29-36 (2011). MSC: 26A12 PDFBibTeX XMLCite \textit{D. Djurčić} et al., Filomat 25, No. 4, 29--36 (2011; Zbl 1265.26005) Full Text: DOI
Omey, E.; Vesilo, R. The difference between the product and the convolution product of distribution functions in \(\mathbb{R}^n\). (English) Zbl 1265.26006 Publ. Inst. Math., Nouv. Sér. 89(103), 19-36 (2011). Reviewer: Slobodanka Janković (Beograd) MSC: 26A12 60E99 PDFBibTeX XMLCite \textit{E. Omey} and \textit{R. Vesilo}, Publ. Inst. Math., Nouv. Sér. 89(103), 19--36 (2011; Zbl 1265.26006) Full Text: DOI
Petković, Dojčin S.; Arandelovic, Ivan D. On two uniform convergence theorems. (English) Zbl 1245.26003 Int. J. Math. Anal., Ruse 5, No. 37-40, 1835-1840 (2011). MSC: 26A12 28A05 PDFBibTeX XMLCite \textit{D. S. Petković} and \textit{I. D. Arandelovic}, Int. J. Math. Anal., Ruse 5, No. 37--40, 1835--1840 (2011; Zbl 1245.26003) Full Text: Link
Kurchenko, O. O. Analogy of Euler constant for a monotone convergent to zero function. (Ukrainian. English summary) Zbl 1249.26001 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2011, No. 4, 26-29 (2011). MSC: 26A12 PDFBibTeX XMLCite \textit{O. O. Kurchenko}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2011, No. 4, 26--29 (2011; Zbl 1249.26001)
Řehák, Pavel Second order linear \(q\)-difference equations: nonoscillation and asymptotics. (English) Zbl 1249.26002 Czech. Math. J. 61, No. 4, 1107-1134 (2011). MSC: 26A12 39A12 39A13 PDFBibTeX XMLCite \textit{P. Řehák}, Czech. Math. J. 61, No. 4, 1107--1134 (2011; Zbl 1249.26002) Full Text: DOI EuDML
Datta, Dhurjati Prasad On a Variation of the Definition of Limit: Some Analytic Consequences. arXiv:1110.6024 Preprint, arXiv:1110.6024 [math.CA] (2011). MSC: 26A12 11A41 BibTeX Cite \textit{D. P. Datta}, ``On a Variation of the Definition of Limit: Some Analytic Consequences'', Preprint, arXiv:1110.6024 [math.CA] (2011) Full Text: arXiv OA License
Kaluzhina, N. S. Slowly varying functions and their behaviour. (Russian. English summary) Zbl 1325.26010 Vestn. Voronezh. Gos. Univ., Ser. Fiz. Mat. 2010, No. 2, 97-102 (2010). MSC: 26A12 PDFBibTeX XMLCite \textit{N. S. Kaluzhina}, Vestn. Voronezh. Gos. Univ., Ser. Fiz. Mat. 2010, No. 2, 97--102 (2010; Zbl 1325.26010)
Buldygin, V. V.; Klesov, O. I.; Steinebach, J. G. On the convergence to infinity of positive increasing functions. (English) Zbl 1240.26002 Ukr. Mat. Zh. 62, No. 10, 1299-1308 (2010) and in Ukr. Math. J. 62, No. 10, 1507-1518 (2010). MSC: 26A12 PDFBibTeX XMLCite \textit{V. V. Buldygin} et al., Ukr. Mat. Zh. 62, No. 10, 1299--1308 (2010; Zbl 1240.26002) Full Text: DOI
Jakimczuk, Rafael Functions of slow increase generalization of the logarithmic integral. (English) Zbl 1250.26002 Int. J. Contemp. Math. Sci. 5, No. 41-44, 2129-2135 (2010). MSC: 26A12 11B05 11N45 PDFBibTeX XMLCite \textit{R. Jakimczuk}, Int. J. Contemp. Math. Sci. 5, No. 41--44, 2129--2135 (2010; Zbl 1250.26002) Full Text: Link
Omey, Edward; Segers, Johan Generalised regular variation of arbitrary order. (English) Zbl 1243.26002 Misiewicz, Jolanta K. (ed.), Stability in probability. Selected papers based on the presentations at the 28th international seminar on stability problems for stochastic models, Zakopane, Poland, May 31 – June 5, 2009. Warszawa: Polish Academy of Sciences, Institute of Mathematics (ISBN 978-83-86806-09-6/pbk). Banach Center Publications 90, 111-137 (2010). Reviewer: Vojislav Marić (Novi Sad) MSC: 26A12 60G70 PDFBibTeX XMLCite \textit{E. Omey} and \textit{J. Segers}, Banach Cent. Publ. 90, 111--137 (2010; Zbl 1243.26002) Full Text: DOI arXiv OA License
Djurčić, D.; Nikolić, R.; Torgašev, A. The weak asymptotic equivalence and the generalized inverse. (English) Zbl 1208.26008 Lith. Math. J. 50, No. 1, 34-42 (2010). MSC: 26A12 PDFBibTeX XMLCite \textit{D. Djurčić} et al., Lith. Math. J. 50, No. 1, 34--42 (2010; Zbl 1208.26008) Full Text: DOI
Salvy, Bruno; Shackell, John Measured limits and multiseries. (English) Zbl 1208.26009 J. Lond. Math. Soc., II. Ser. 82, No. 3, 747-762 (2010). Reviewer: Edward Omey (Brussels) MSC: 26A12 68W30 03C64 33B99 PDFBibTeX XMLCite \textit{B. Salvy} and \textit{J. Shackell}, J. Lond. Math. Soc., II. Ser. 82, No. 3, 747--762 (2010; Zbl 1208.26009) Full Text: DOI
Bingham, N. H.; Ostaszewski, A. J. Topological regular variation. III: Regular variation. (English) Zbl 1202.26005 Topology Appl. 157, No. 13, 2024-2037 (2010). Reviewer: Edward Omey (Brussels) MSC: 26A12 37B99 18B30 20E34 54C50 PDFBibTeX XMLCite \textit{N. H. Bingham} and \textit{A. J. Ostaszewski}, Topology Appl. 157, No. 13, 2024--2037 (2010; Zbl 1202.26005) Full Text: DOI
Bingham, N. H.; Ostaszewski, A. J. Topological regular variation. II: The fundamental theorems. (English) Zbl 1203.26003 Topology Appl. 157, No. 13, 2014-2023 (2010). Reviewer: Edward Omey (Brussels) MSC: 26A12 37B99 18B30 20E34 54C50 PDFBibTeX XMLCite \textit{N. H. Bingham} and \textit{A. J. Ostaszewski}, Topology Appl. 157, No. 13, 2014--2023 (2010; Zbl 1203.26003) Full Text: DOI
Bingham, N. H.; Ostaszewski, A. J. Topological regular variation. I: Slow variation. (English) Zbl 1202.26004 Topology Appl. 157, No. 13, 1999-2013 (2010). Reviewer: Edward Omey (Brussels) MSC: 26A12 37B99 18B30 20E34 PDFBibTeX XMLCite \textit{N. H. Bingham} and \textit{A. J. Ostaszewski}, Topology Appl. 157, No. 13, 1999--2013 (2010; Zbl 1202.26004) Full Text: DOI
Bingham, N. H.; Ostaszewski, A. J. Regular variation without limits. (English) Zbl 1204.26007 J. Math. Anal. Appl. 370, No. 2, 322-338 (2010). Reviewer: Edward Omey (Brussels) MSC: 26A12 26A21 26A48 20E34 PDFBibTeX XMLCite \textit{N. H. Bingham} and \textit{A. J. Ostaszewski}, J. Math. Anal. Appl. 370, No. 2, 322--338 (2010; Zbl 1204.26007) Full Text: DOI
Pitsiladis, Elias; Grispolakis, Joachim Part I: Theory of potential of convergence. Part II: Applications in the field of ordinary differential equations. (English) Zbl 1195.26004 Analysis, München 30, No. 2, 171-198 (2010). MSC: 26A12 26A15 PDFBibTeX XMLCite \textit{E. Pitsiladis} and \textit{J. Grispolakis}, Analysis, München 30, No. 2, 171--198 (2010; Zbl 1195.26004) Full Text: DOI
Jakimczuk, Rafael Functions of slow increase and integer sequences. (English) Zbl 1210.26005 J. Integer Seq. 13, No. 1, Article ID 10.1.1, 14 p. (2010). Reviewer: Florin Nicolae (Berlin) MSC: 26A12 11B83 11N37 PDFBibTeX XMLCite \textit{R. Jakimczuk}, J. Integer Seq. 13, No. 1, Article ID 10.1.1, 14 p. (2010; Zbl 1210.26005) Full Text: EuDML EMIS
Řehák, Pavel; Vítovec, Jiří Regular variation on measure chains. (English) Zbl 1179.26005 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 1, 439-448 (2010). MSC: 26A12 26E70 34C11 39A12 PDFBibTeX XMLCite \textit{P. Řehák} and \textit{J. Vítovec}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 1, 439--448 (2010; Zbl 1179.26005) Full Text: DOI
Batten, George W. Construction of Continuous, Integrable Functions with Extreme Behavior at Infinity. arXiv:1010.3354 Preprint, arXiv:1010.3354 [math.CA] (2010). MSC: 26A12 26A06 BibTeX Cite \textit{G. W. Batten}, ``Construction of Continuous, Integrable Functions with Extreme Behavior at Infinity'', Preprint, arXiv:1010.3354 [math.CA] (2010) Full Text: arXiv OA License
Buldygin, V. V.; Pavlenkov, V. V. A generalization of Karamata’s theorem on the asymptotic behavior of integrals. (Ukrainian, English) Zbl 1224.26007 Teor. Jmovirn. Mat. Stat. 81, 13-24 (2009); translation in Theory Probab. Math. Stat. 81, 15-26 (2010). Reviewer: Mikhail P. Moklyachuk (Kyïv) MSC: 26A12 26A48 34C41 PDFBibTeX XMLCite \textit{V. V. Buldygin} and \textit{V. V. Pavlenkov}, Teor. Ĭmovirn. Mat. Stat. 81, 13--24 (2009; Zbl 1224.26007); translation in Theory Probab. Math. Stat. 81, 15--26 (2010) Full Text: DOI
Bingham, N. H.; Ostaszewski, A. J. Infinite combinatorics and the foundations of regular variation. (English) Zbl 1188.26004 J. Math. Anal. Appl. 360, No. 2, 518-529 (2009). Reviewer: Petr Holický (Praha) MSC: 26A12 PDFBibTeX XMLCite \textit{N. H. Bingham} and \textit{A. J. Ostaszewski}, J. Math. Anal. Appl. 360, No. 2, 518--529 (2009; Zbl 1188.26004) Full Text: DOI
Djurčić, Dragan; Torgašev, Aleksandar A theorem of Galambos-Bojanić-Seneta type. (English) Zbl 1168.26300 Abstr. Appl. Anal. 2009, Article ID 360794, 6 p. (2009). MSC: 26A12 26A48 PDFBibTeX XMLCite \textit{D. Djurčić} and \textit{A. Torgašev}, Abstr. Appl. Anal. 2009, Article ID 360794, 6 p. (2009; Zbl 1168.26300) Full Text: DOI OA License
Tasković, Milan R. Translational regular variation asympotic behavior and applications. (English) Zbl 1199.26010 Math. Morav. 12, No. 2, 51-76 (2008). Reviewer: Vojislav Marić (Novi Sad) MSC: 26A12 40E05 PDFBibTeX XMLCite \textit{M. R. Tasković}, Math. Morav. 12, No. 2, 51--76 (2008; Zbl 1199.26010)
Aranđelović, Ivan D. On de Haan’s uniform convergence theorem. (English) Zbl 1199.26007 Math. Morav. 12, No. 2, 15-17 (2008). Reviewer: Slobodanka Janković (Beograd) MSC: 26A12 28A05 PDFBibTeX XMLCite \textit{I. D. Aranđelović}, Math. Morav. 12, No. 2, 15--17 (2008; Zbl 1199.26007)
Djurčić, Dragan; Žižović, Mališa Note on sequence of exponents of SO-regular variability. (English) Zbl 1224.26008 Math. Morav. 12, No. 1, 15-18 (2008). Reviewer: Branko Malešević (Beograd) MSC: 26A12 PDFBibTeX XMLCite \textit{D. Djurčić} and \textit{M. Žižović}, Math. Morav. 12, No. 1, 15--18 (2008; Zbl 1224.26008)
Aranđelović, Ivan D.; Petković, Dojčin S. An inequality for the Lebesgue measure and its further applications. (English) Zbl 1224.26006 Kragujevac J. Math. 31, 53-57 (2008). Reviewer: Dragan Blagojević (Beograd) MSC: 26A12 PDFBibTeX XMLCite \textit{I. D. Aranđelović} and \textit{D. S. Petković}, Kragujevac J. Math. 31, 53--57 (2008; Zbl 1224.26006)
Řehák, Pavel Regular variation on time scales and dynamic equations. (English) Zbl 1167.26301 Aust. J. Math. Anal. Appl. 5, No. 2, Article No. 5, 1-10 (2008). MSC: 26A12 39A11 34C11 39A12 PDFBibTeX XMLCite \textit{P. Řehák}, Aust. J. Math. Anal. Appl. 5, No. 2, Article No. 5, 1--10 (2008; Zbl 1167.26301) Full Text: Link
Djurčić, Dragan; Torgašev, Aleksandar; Ješić, Siniša The strong asymptotic equivalence and the generalized inverse. (Russian, English) Zbl 1164.26303 Sib. Mat. Zh. 49, No. 4, 786-795 (2008); translation in Sib. Math. J. 49, No. 4, 628-636 (2008). MSC: 26A12 PDFBibTeX XMLCite \textit{D. Djurčić} et al., Sib. Mat. Zh. 49, No. 4, 786--795 (2008; Zbl 1164.26303); translation in Sib. Math. J. 49, No. 4, 628--636 (2008) Full Text: EuDML EMIS