نتایج جستجو برای: jensen functional equation
تعداد نتایج: 807395 فیلتر نتایج به سال:
We introduce the normalized Jensen-Mercer functional Mn( f ,x, p) = f (a)+ f (b)− n ∑ i=1 pi f (xi)− f ( a+b− n ∑ i=1 pixi ) and establish the inequalities of type MMn( f ,x,q) Mn( f ,x, p) mMn( f ,x,q) , where f is a convex function, x = (x1, . . . ,xn) and m and M are real numbers satisfying certain conditions. We prove them for the case when p and q are nonnegative n -tuples and when p and q...
The main of this article are presenting generalized Opial type inequalities which will be defined as theOpial-Jensen inequality for convex function. Further, new given functionalsdefined with the help inequalities.
چکیده diphyllidea van beneden in carus, 1863 راسته ای است از رده eucestoda که گونه های آن همگی تنها در دریاها زیست کرده و از گونه های مختلف سفره ماهی و یک خانواده از کوسه ماهیان به عنوان میزبان نهایی استفاده می کنند. در این مطالعه گونه ای جدید از جنس coronocestus caira, marques, jensen, kuchta and ivanov, 2013 متعلق به راسته diphyllidea از یک گونه کوسه ماهی به نام iago omanensis (norman) از د...
in this paper, we investigate the generalizedhyers-ulam-rassias stability for the quartic, cubic and additivefunctional equation$$f(x+ky)+f(x-ky)=k^2f(x+y)+k^2f(x-y)+(k^2-1)[k^2f(y)+k^2f(-y)-2f(x)]$$ ($k in mathbb{z}-{0,pm1}$) in $p-$banach spaces.
The purpose of this paper is to solve the seventh-order functional equation as follows: --------------------------- Next, we study the stability of this type of functional equation. Clearly, the function ---------- holds in this type functional equation. Also, we prove Hyers-Ulam stability for this type functional equation in the β-Gaussian Banach space.
in the present paper a solution of the generalizedquadratic functional equation$$f(kx+ y)+f(kx+sigma(y))=2k^{2}f(x)+2f(y),phantom{+} x,yin{e}$$ isgiven where $sigma$ is an involution of the normed space $e$ and$k$ is a fixed positive integer. furthermore we investigate thehyers-ulam-rassias stability of the functional equation. thehyers-ulam stability on unbounded domains is also studied.applic...
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