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Semi E<sup>h</sup>-b-preinvexity and its applications to optimization problems
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Abstract<p>In this paper, the class of semi <italic>E</italic> <sup> <italic>h</italic> </sup>-<italic>b</italic>-preinvex and pseudo <italic>E</italic> <sup> <italic>h</italic> </sup>-b-preinvex functions are defined as an extension of <italic>E-B</italic>-preinvex and <italic>h</italic>-preinvex functions. In this extension the functions <italic>E</italic>:ℝ<sup> <italic>n</italic> </sup> → ℝ<sup> <italic>n</italic> </sup>, <italic>h</italic>: [0,1] → ℝ, and <italic>b</italic>:ℝ<sup> <italic>n</italic> </sup> × ℝ<sup> <italic>n</italic> </sup> × [0,1] → ℝ<sup>+</sup> are taken into consideration. Various properties for the new functions as well as some properties and characterizations of quasi semi <italic>E</italic>-preinvex functions are discussed. Some optimality properties for semi <italic>E</italic> <sup> <italic>h</italic> </sup>-b-preinvex nonlinear optimization problems are proved.</p>
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Publication Date
Sat Oct 01 2022
Journal Name
Lark Journal
The problem of synonyms and similar words in the translation of the Holy Quran into Russian (based on the translation by Elmir Kuliev) اشكالية الترادف والكلمات المتقاربة في المعنى في ترجمة القران الكريم الى اللغة الروسية (بناءا على ترجمة إلمير كولييف) Проблема синонимов и близких по значению слов в переводе Священного Корана на русский язык (на материале перевода Эльмира Кулиева)
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In our research, we dealt with one of the most important issues of linguistic studies of the Holy Qur’an, which is the words that are close in meaning, which some believe are synonyms, but in the Arabic language they are not considered synonyms because there are subtle differences between them. Synonyms in the Arabic language are very few, rather rare, and in the Holy Qur’an they are completely non-existent. And how were these words, close in meaning, translated in the translation of the Holy Qur’an by Almir Kuliev into the Russian language.

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