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Some Properties of the Moduli of Continuity of Periodic Functions in Metric Spaces
Let L 0 ( T ) be the set of real-valued periodic measurable functions, let Ψ: R + → R + be the modulus of continuity, and let L Ψ ≡ L Ψ T = f ∈ L 0 T : f Ψ ≔ 1 2 π ∫ T Ψ f x dx < ∞ . We study the properties of multiple moduli of continuity for the functions from L Ψ .
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| Published in: | Ukrainian mathematical journal 2017-05, Vol.68 (12), p.1920-1928 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
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| cites | cdi_FETCH-LOGICAL-c307t-2bfe99b22a1780ffb10c2c809215d2258d2842e2de084e4afa31807c480987803 |
| container_end_page | 1928 |
| container_issue | 12 |
| container_start_page | 1920 |
| container_title | Ukrainian mathematical journal |
| container_volume | 68 |
| creator | Pichugov, S. A. |
| description | Let
L
0
(
T
) be the set of real-valued periodic measurable functions, let Ψ:
R
+
→ R
+
be the modulus of continuity, and let
L
Ψ
≡
L
Ψ
T
=
f
∈
L
0
T
:
f
Ψ
≔
1
2
π
∫
T
Ψ
f
x
dx
<
∞
.
We study the properties of multiple moduli of continuity for the functions from
L
Ψ
. |
| doi_str_mv | 10.1007/s11253-017-1338-2 |
| format | article |
| fullrecord | <record><control><sourceid>gale_proqu</sourceid><recordid>TN_cdi_proquest_journals_1906966228</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><galeid>A499343130</galeid><sourcerecordid>A499343130</sourcerecordid><originalsourceid>FETCH-LOGICAL-c307t-2bfe99b22a1780ffb10c2c809215d2258d2842e2de084e4afa31807c480987803</originalsourceid><addsrcrecordid>eNp1kE1LAzEQhoMoWKs_wNuC56352I_kWIpVocVi9Ry22UlNaZM1yR76782yHrzIHIZ5eZ-Z4UXonuAZwbh-DITQkuWY1DlhjOf0Ak1IWbNcsLq6RBOMC5KXQpTX6CaEA8aJ4vUEvW_dCbKNdx34aCBkTmfxC7K1a_ujGaaFs9HY3sTzMG3AG9calS17q6JxNmTGZmuIPmnbrlEQbtGVbo4B7n77FH0unz4WL_nq7fl1MV_liuE65nSnQYgdpQ2pOdZ6R7CiimNBSdlSWvKW8oICbQHzAopGN4xwXKsiWXgi2BQ9jHs77757CFEeXO9tOimJwJWoKkp5cs1G1745gjRWu-gblaqFk1HOgjZJnxdCsIIRNqwlI6C8C8GDlp03p8afJcFyyFqOWcuUtRyyljQxdGRC8to9-D-v_Av9AFZtf34</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>1906966228</pqid></control><display><type>article</type><title>Some Properties of the Moduli of Continuity of Periodic Functions in Metric Spaces</title><source>Springer Nature</source><creator>Pichugov, S. A.</creator><creatorcontrib>Pichugov, S. A.</creatorcontrib><description>Let
L
0
(
T
) be the set of real-valued periodic measurable functions, let Ψ:
R
+
→ R
+
be the modulus of continuity, and let
L
Ψ
≡
L
Ψ
T
=
f
∈
L
0
T
:
f
Ψ
≔
1
2
π
∫
T
Ψ
f
x
dx
<
∞
.
We study the properties of multiple moduli of continuity for the functions from
L
Ψ
.</description><identifier>ISSN: 0041-5995</identifier><identifier>EISSN: 1573-9376</identifier><identifier>DOI: 10.1007/s11253-017-1338-2</identifier><language>eng</language><publisher>New York: Springer US</publisher><subject>Algebra ; Analysis ; Applications of Mathematics ; Continuity (mathematics) ; Geometry ; Mathematics ; Mathematics and Statistics ; Periodic functions ; Statistics</subject><ispartof>Ukrainian mathematical journal, 2017-05, Vol.68 (12), p.1920-1928</ispartof><rights>Springer Science+Business Media, LLC 2017</rights><rights>COPYRIGHT 2017 Springer</rights><rights>Copyright Springer Science & Business Media 2017</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c307t-2bfe99b22a1780ffb10c2c809215d2258d2842e2de084e4afa31807c480987803</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,27901,27902</link.rule.ids></links><search><creatorcontrib>Pichugov, S. A.</creatorcontrib><title>Some Properties of the Moduli of Continuity of Periodic Functions in Metric Spaces</title><title>Ukrainian mathematical journal</title><addtitle>Ukr Math J</addtitle><description>Let
L
0
(
T
) be the set of real-valued periodic measurable functions, let Ψ:
R
+
→ R
+
be the modulus of continuity, and let
L
Ψ
≡
L
Ψ
T
=
f
∈
L
0
T
:
f
Ψ
≔
1
2
π
∫
T
Ψ
f
x
dx
<
∞
.
We study the properties of multiple moduli of continuity for the functions from
L
Ψ
.</description><subject>Algebra</subject><subject>Analysis</subject><subject>Applications of Mathematics</subject><subject>Continuity (mathematics)</subject><subject>Geometry</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Periodic functions</subject><subject>Statistics</subject><issn>0041-5995</issn><issn>1573-9376</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</creationdate><recordtype>article</recordtype><recordid>eNp1kE1LAzEQhoMoWKs_wNuC56352I_kWIpVocVi9Ry22UlNaZM1yR76782yHrzIHIZ5eZ-Z4UXonuAZwbh-DITQkuWY1DlhjOf0Ak1IWbNcsLq6RBOMC5KXQpTX6CaEA8aJ4vUEvW_dCbKNdx34aCBkTmfxC7K1a_ujGaaFs9HY3sTzMG3AG9calS17q6JxNmTGZmuIPmnbrlEQbtGVbo4B7n77FH0unz4WL_nq7fl1MV_liuE65nSnQYgdpQ2pOdZ6R7CiimNBSdlSWvKW8oICbQHzAopGN4xwXKsiWXgi2BQ9jHs77757CFEeXO9tOimJwJWoKkp5cs1G1745gjRWu-gblaqFk1HOgjZJnxdCsIIRNqwlI6C8C8GDlp03p8afJcFyyFqOWcuUtRyyljQxdGRC8to9-D-v_Av9AFZtf34</recordid><startdate>20170501</startdate><enddate>20170501</enddate><creator>Pichugov, S. A.</creator><general>Springer US</general><general>Springer</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20170501</creationdate><title>Some Properties of the Moduli of Continuity of Periodic Functions in Metric Spaces</title><author>Pichugov, S. A.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c307t-2bfe99b22a1780ffb10c2c809215d2258d2842e2de084e4afa31807c480987803</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2017</creationdate><topic>Algebra</topic><topic>Analysis</topic><topic>Applications of Mathematics</topic><topic>Continuity (mathematics)</topic><topic>Geometry</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Periodic functions</topic><topic>Statistics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Pichugov, S. A.</creatorcontrib><collection>CrossRef</collection><jtitle>Ukrainian mathematical journal</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Pichugov, S. A.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Some Properties of the Moduli of Continuity of Periodic Functions in Metric Spaces</atitle><jtitle>Ukrainian mathematical journal</jtitle><stitle>Ukr Math J</stitle><date>2017-05-01</date><risdate>2017</risdate><volume>68</volume><issue>12</issue><spage>1920</spage><epage>1928</epage><pages>1920-1928</pages><issn>0041-5995</issn><eissn>1573-9376</eissn><abstract>Let
L
0
(
T
) be the set of real-valued periodic measurable functions, let Ψ:
R
+
→ R
+
be the modulus of continuity, and let
L
Ψ
≡
L
Ψ
T
=
f
∈
L
0
T
:
f
Ψ
≔
1
2
π
∫
T
Ψ
f
x
dx
<
∞
.
We study the properties of multiple moduli of continuity for the functions from
L
Ψ
.</abstract><cop>New York</cop><pub>Springer US</pub><doi>10.1007/s11253-017-1338-2</doi><tpages>9</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0041-5995 |
| ispartof | Ukrainian mathematical journal, 2017-05, Vol.68 (12), p.1920-1928 |
| issn | 0041-5995 1573-9376 |
| language | eng |
| recordid | cdi_proquest_journals_1906966228 |
| source | Springer Nature |
| subjects | Algebra Analysis Applications of Mathematics Continuity (mathematics) Geometry Mathematics Mathematics and Statistics Periodic functions Statistics |
| title | Some Properties of the Moduli of Continuity of Periodic Functions in Metric Spaces |
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