On the classes of higher-order Jensen-convex functions and Wright-convex functions, II

被引：5
|
作者：
Mrowiec, Jacek [1 ]
Rajba, Teresa [1 ]
Wasowicz, Szymon [1 ]
机构：
[1] Univ Bielsko Biala, Dept Math, Willowa 2, PL-48309 Bielsko Biala, Poland
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2017年 / 450卷 / 02期
关键词：
Higher-order; (Wright; Jensen)-convexity; Higher-order strong (Wright; Difference operator; Hamel basis;
D O I：
10.1016/j.jmaa.2017.01.083
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Recently Nikodem, Rajba and W4sowicz compared the classes of n-Wright-convex functions and n-Jensen-convex functions by showing that the first one is a proper subclass of the latter one, whenever n is an odd natural number. Till now the case of even n was an open problem. In this paper the complete solution is given: it is shown that the inclusion is proper for any natural n. The classes of strongly n-Wright-convex and strongly n-Jensen-convex functions are also compared (with the same assertion). (C) 2017 Elsevier Inc. All rights reserved.
引用
收藏
页码：1144 / 1147
页数：4
相关论文
共 50 条
  • [31] Hermite–Hadamard type inequalities for higher-order convex functions and applications
    Doan Thi Thuy Van
    Tran Minh Vu
    Duong Quoc Huy
    The Journal of Analysis, 2024, 32 : 869 - 888
  • [32] APPLICATION OF THE FINK IDENTITY TO JENSEN-TYPE INEQUALITIES FOR HIGHER ORDER CONVEX FUNCTIONS
    Bosnjak, Marija
    Krnic, Mario
    Pecaric, Josip
    APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2024, 18 (01) : 44 - 64
  • [33] ON STRONGLY GENERALIZED CONVEX FUNCTIONS OF HIGHER ORDER
    Mishra, S. K.
    Sharma, Nidhi
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2019, 22 (01): : 111 - 121
  • [34] INEQUALITIES FOR DISCRETE HIGHER ORDER CONVEX FUNCTIONS
    Prekopa, Andras
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2009, 3 (04): : 485 - 498
  • [35] m-CONVEX FUNCTIONS OF HIGHER ORDER
    Lara, Teodoro
    Merentes, Nelson
    Rosales, Edgar
    ANNALES MATHEMATICAE SILESIANAE, 2020, 34 (02) : 241 - 255
  • [36] Functional inequalities for convex functions of higher order
    Lupas, A
    INEQUALITY THEORY AND APPLICATIONS, VOL 1, 2001, : 219 - 229
  • [37] On the Rasa Inequality for Higher Order Convex Functions
    Komisarski, Andrzej
    Rajba, Teresa
    RESULTS IN MATHEMATICS, 2021, 76 (02)
  • [38] CLOSE-TO-CONVEX FUNCTIONS OF HIGHER ORDER
    GOODMAN, AW
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 18 (05): : 770 - &
  • [39] On the Raşa Inequality for Higher Order Convex Functions
    Andrzej Komisarski
    Teresa Rajba
    Results in Mathematics, 2021, 76
  • [40] QUASI-CONVEX FUNCTIONS OF HIGHER ORDER
    Mrowiec, Jacek
    Rajba, Teresa
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2019, 22 (04): : 1335 - 1354
12345