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A study on the continuity of some classes of E-Q-convex functions
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نویسنده
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heydarpour zohreh ,aghajani masoumeh
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منبع
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wavelets and linear algebra - 2023 - دوره : 10 - شماره : 2 - صفحه:63 -69
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چکیده
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As a generalization of convexity, e-convexity has been defined and studied in many publications. in this study, we recall the class of e-q-convex sets, e-q-convex and e-additive functions and proved some properties of e-q-convex functions. also, we develop the classical theorems of jensen and bernstein-doetschon e-q-convex functions when vector spaces are over the ratio-nal numbers q.
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کلیدواژه
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Bernstein-Doetsch theorem ,E-convex set ,ApproximatelyE-convex function ,E-Q-convex function ,E-Q-convex set.
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آدرس
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payame noor university (pnu), department of mathematics, Department of Mathematics, Payame Noor University (PNU), P. O. Box 19395-4697, Tehran, Iran., shahid rajaee teachertraining university, faculty of science, department of mathematic, Iran
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Authors
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