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Mohammadi, Negar, Hooshmand, Mohammad Hadi. (1401). NEW BOUNDS FOR SOME GENERALIZED EULER-TYPE CONSTANTS AND THEIR ACHIEVEMENTS. , (), -. doi: 10.30495/jnrm.2023.66680.2245
Negar Mohammadi; Mohammad Hadi Hooshmand. "NEW BOUNDS FOR SOME GENERALIZED EULER-TYPE CONSTANTS AND THEIR ACHIEVEMENTS". , , , 1401, -. doi: 10.30495/jnrm.2023.66680.2245
Mohammadi, Negar, Hooshmand, Mohammad Hadi. (1401). 'NEW BOUNDS FOR SOME GENERALIZED EULER-TYPE CONSTANTS AND THEIR ACHIEVEMENTS', , (), pp. -. doi: 10.30495/jnrm.2023.66680.2245
Mohammadi, Negar, Hooshmand, Mohammad Hadi. NEW BOUNDS FOR SOME GENERALIZED EULER-TYPE CONSTANTS AND THEIR ACHIEVEMENTS. , 1401; (): -. doi: 10.30495/jnrm.2023.66680.2245

NEW BOUNDS FOR SOME GENERALIZED EULER-TYPE CONSTANTS AND THEIR ACHIEVEMENTS

Journal of New Researches in Mathematics
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 23 دی 1401  XML
نوع مقاله: research paper
شناسه دیجیتال (DOI): 10.30495/jnrm.2023.66680.2245
نویسندگان
Negar Mohammadi1؛ Mohammad Hadi Hooshmand email orcid 2
1Isalamic Aazad University Shiraz Branch
2Professor of mathematics/ Islamic Azad University
چکیده
We deal with some generalizations of Euler-Type constants that are motivated by

derivatives of limit summand functions. In order to study the derivative of the summand functions, the second author had faced a functional sequence leading him to a generalization of the Euler-type constants. In this paper, we give some new bounds for such generalized Euler type constants and state some related results and inequalities.

As a result of the topic, we obtain upper and lower bounds for a series of the sequence f'(j)

(obtained from the derivatives of f at positive integer points, if f is differentiable) for all real functions with certain properties. The obtained results can be applied to a wide range of special functions. Finally, we state some of their applications for several special functions, that one of them is an inequality for the inverse function of the tangent function (for all positive integers m) .
کلیدواژه‌ها
Euler-type constants؛ Limit summability of real functions؛ Inequalities involving functions
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تعداد مشاهده مقاله: 15


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