Publication Information

{'id': 'https://openalex.org/W2316800898', 'doi': 'https://doi.org/10.4153/cjm-1977-053-1', 'title': 'Examples for the Theory of Infinite Iteration of Summability Methods', 'display_name': 'Examples for the Theory of Infinite Iteration of Summability Methods', 'publication_year': 1977, 'publication_date': '1977-06-01', 'ids': {'openalex': 'https://openalex.org/W2316800898', 'doi': 'https://doi.org/10.4153/cjm-1977-053-1', 'mag': '2316800898'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.4153/cjm-1977-053-1', 'pdf_url': 'https://www.cambridge.org/core/services/aop-cambridge-core/content/view/CBA14D5A57E031A20E90BD2537BAD498/S0008414X00024378a.pdf/div-class-title-examples-for-the-theory-of-infinite-iteration-of-summability-methods-div.pdf', 'source': {'id': 'https://openalex.org/S131268793', 'display_name': 'Canadian Journal of Mathematics', 'issn_l': '0008-414X', 'issn': ['0008-414X', '1496-4279'], 'is_oa': False, 'is_in_doaj': False, 'is_indexed_in_scopus': True, 'is_core': True, 'host_organization': 'https://openalex.org/P4310311721', 'host_organization_name': 'Cambridge University Press', 'host_organization_lineage': ['https://openalex.org/P4310311721', 'https://openalex.org/P4310311702'], 'host_organization_lineage_names': ['Cambridge University Press', 'University of Cambridge'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': True, 'oa_status': 'bronze', 'oa_url': 'https://www.cambridge.org/core/services/aop-cambridge-core/content/view/CBA14D5A57E031A20E90BD2537BAD498/S0008414X00024378a.pdf/div-class-title-examples-for-the-theory-of-infinite-iteration-of-summability-methods-div.pdf', 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5050449040', 'display_name': 'Persi Diaconis', 'orcid': 'https://orcid.org/0000-0003-0837-6662'}, 'institutions': [{'id': 'https://openalex.org/I97018004', 'display_name': 'Stanford University', 'ror': 'https://ror.org/00f54p054', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I97018004']}], 'countries': ['US'], 'is_corresponding': True, 'raw_author_name': 'Persi Diaconis', 'raw_affiliation_strings': ['Stanford University, Stanford, California'], 'affiliations': [{'raw_affiliation_string': 'Stanford University, Stanford, California', 'institution_ids': ['https://openalex.org/I97018004']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': ['https://openalex.org/A5050449040'], 'corresponding_institution_ids': ['https://openalex.org/I97018004'], 'apc_list': None, 'apc_paid': None, 'fwci': 0.461, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 11, 'citation_normalized_percentile': {'value': 0.651594, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 82, 'max': 83}, 'biblio': {'volume': '29', 'issue': '3', 'first_page': '489', 'last_page': '497'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T12062', 'display_name': 'Approximation Theory and Sequence Spaces', 'score': 0.9915, 'subfield': {'id': 'https://openalex.org/subfields/2613', 'display_name': 'Statistics and Probability'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, 'topics': [{'id': 'https://openalex.org/T12062', 'display_name': 'Approximation Theory and Sequence Spaces', 'score': 0.9915, 'subfield': {'id': 'https://openalex.org/subfields/2613', 'display_name': 'Statistics and Probability'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T11545', 'display_name': 'Advanced Banach Space Theory', 'score': 0.9692, 'subfield': {'id': 'https://openalex.org/subfields/2610', 'display_name': 'Mathematical Physics'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T13400', 'display_name': 'Mathematical and Theoretical Analysis', 'score': 0.953, 'subfield': {'id': 'https://openalex.org/subfields/2610', 'display_name': 'Mathematical Physics'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}], 'keywords': [{'id': 'https://openalex.org/keywords/sequence', 'display_name': 'Sequence (biology)', 'score': 0.7537677}], 'concepts': [{'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.9475473}, {'id': 'https://openalex.org/C2778112365', 'wikidata': 'https://www.wikidata.org/wiki/Q3511065', 'display_name': 'Sequence (biology)', 'level': 2, 'score': 0.7537677}, {'id': 'https://openalex.org/C207405024', 'wikidata': 'https://www.wikidata.org/wiki/Q207348', 'display_name': 'Semigroup', 'level': 2, 'score': 0.66610175}, {'id': 'https://openalex.org/C122044880', 'wikidata': 'https://www.wikidata.org/wiki/Q5498822', 'display_name': 'Ergodic theory', 'level': 2, 'score': 0.657763}, {'id': 'https://openalex.org/C97137487', 'wikidata': 'https://www.wikidata.org/wiki/Q729138', 'display_name': 'Integer (computer science)', 'level': 2, 'score': 0.61964256}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.46489233}, {'id': 'https://openalex.org/C114614502', 'wikidata': 'https://www.wikidata.org/wiki/Q76592', 'display_name': 'Combinatorics', 'level': 1, 'score': 0.35599178}, {'id': 'https://openalex.org/C136119220', 'wikidata': 'https://www.wikidata.org/wiki/Q1000660', 'display_name': 'Algebra over a field', 'level': 2, 'score': 0.32130256}, {'id': 'https://openalex.org/C54355233', 'wikidata': 'https://www.wikidata.org/wiki/Q7162', 'display_name': 'Genetics', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C86803240', 'wikidata': 'https://www.wikidata.org/wiki/Q420', 'display_name': 'Biology', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C199360897', 'wikidata': 'https://www.wikidata.org/wiki/Q9143', 'display_name': 'Programming language', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': True, 'landing_page_url': 'https://doi.org/10.4153/cjm-1977-053-1', 'pdf_url': 'https://www.cambridge.org/core/services/aop-cambridge-core/content/view/CBA14D5A57E031A20E90BD2537BAD498/S0008414X00024378a.pdf/div-class-title-examples-for-the-theory-of-infinite-iteration-of-summability-methods-div.pdf', 'source': {'id': 'https://openalex.org/S131268793', 'display_name': 'Canadian Journal of Mathematics', 'issn_l': '0008-414X', 'issn': ['0008-414X', '1496-4279'], 'is_oa': False, 'is_in_doaj': False, 'is_indexed_in_scopus': True, 'is_core': True, 'host_organization': 'https://openalex.org/P4310311721', 'host_organization_name': 'Cambridge University Press', 'host_organization_lineage': ['https://openalex.org/P4310311721', 'https://openalex.org/P4310311702'], 'host_organization_lineage_names': ['Cambridge University Press', 'University of Cambridge'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.4153/cjm-1977-053-1', 'pdf_url': 'https://www.cambridge.org/core/services/aop-cambridge-core/content/view/CBA14D5A57E031A20E90BD2537BAD498/S0008414X00024378a.pdf/div-class-title-examples-for-the-theory-of-infinite-iteration-of-summability-methods-div.pdf', 'source': {'id': 'https://openalex.org/S131268793', 'display_name': 'Canadian Journal of Mathematics', 'issn_l': '0008-414X', 'issn': ['0008-414X', '1496-4279'], 'is_oa': False, 'is_in_doaj': False, 'is_indexed_in_scopus': True, 'is_core': True, 'host_organization': 'https://openalex.org/P4310311721', 'host_organization_name': 'Cambridge University Press', 'host_organization_lineage': ['https://openalex.org/P4310311721', 'https://openalex.org/P4310311702'], 'host_organization_lineage_names': ['Cambridge University Press', 'University of Cambridge'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 6, 'referenced_works': ['https://openalex.org/W1531115685', 'https://openalex.org/W1585954501', 'https://openalex.org/W1971023759', 'https://openalex.org/W2751862591', 'https://openalex.org/W2790825170', 'https://openalex.org/W4239679971'], 'related_works': ['https://openalex.org/W50969306', 'https://openalex.org/W4292101436', 'https://openalex.org/W412641959', 'https://openalex.org/W3154976382', 'https://openalex.org/W2953245366', 'https://openalex.org/W2779828239', 'https://openalex.org/W2390585021', 'https://openalex.org/W2377125804', 'https://openalex.org/W2376495867', 'https://openalex.org/W2341040961'], 'abstract_inverted_index': {'Garten': [0], 'and': [1], 'Knopp': [2], '[': [3, 25, 31, 71], '7': [4, 32], ']': [5, 27, 73], 'introduced': [6], 'the': [7, 35, 45, 59, 63], 'notion': [8], 'of': [9, 12, 30, 39, 62, 79, 87, 95], 'infinite': [10], 'iteration': [11], 'Césaro': [13], '(C': [14], '1': [15, 55], ')': [16], 'averages,': [17], 'which': [18], 'they': [19], 'called': [20], 'H': [21, 41, 80], '∞': [22, 42, 50, 81], 'summability.': [23], 'Flehinger': [24], '6': [26], '(apparently': [28], 'unaware': [29], '])': [33], 'produced': [34], 'first': [36], 'nontrivial': [37], 'example': [38], 'an': [40, 76, 92], 'summable': [43], 'sequence:': [44], 'sequence': [46], '﹛a': [47], 'i': [48, 65], '﹜': [49], 'i=1': [51], 'where': [52], 'at': [53], 'is': [54, 66], 'or': [56, 68], '0': [57], 'as': [58, 83], 'lead': [60], 'digit': [61], 'integer': [64], 'one': [67], 'not.': [69], 'Duran': [70], '2': [72], 'has': [74], 'provided': [75], 'elegant': [77], 'treatment': [78], 'summability': [82, 88], 'a': [84], 'special': [85], 'case': [86], 'with': [89], 'respect': [90], 'to': [91], 'ergodic': [93], 'semigroup': [94], 'transformations.': [96]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2316800898', 'counts_by_year': [{'year': 2022, 'cited_by_count': 1}, {'year': 2020, 'cited_by_count': 1}, {'year': 2019, 'cited_by_count': 2}, {'year': 2017, 'cited_by_count': 1}, {'year': 2016, 'cited_by_count': 1}], 'updated_date': '2025-01-19T13:32:14.720508', 'created_date': '2016-06-24'}