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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 경남대학교 기초과학연구소 Nonlinear Functional Analysis and Applications Nonlinear Functional Analysis and Applications Vol.23 No.3
- 발행연도
- 2018.9
- 수록면
- 575 - 583 (9page)
- DOI
- 10.22771/nfaa.2018.23.03.11
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초록· 키워드
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In this paper, we introduce and study a new class of convex functions with respect to an arbitrary function, which is called the k-convex function. These functions are nonconvex functions and include the convex function and φ-convex convex as special cases. We study some properties of k-convex functions. It is shown that the minimum of k-convex functions on the k-convex sets can be characterized by a class of variational inequalities, which is called the k-directional variational inequalities. Some open problems are also suggested for future research.
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참고문헌 (13)
참고문헌 신청
G. Crestescu / 2015 / Regularity properties and integral inequali-ties realted to (k, h1, h2)-convexity of functions / Analele Universit. Vest Timisoara, Ser. Math.-Informat LIII(1):19~35
A. Hazy / 2012 / Bernstein-Doetsch type results for (k, h)-convex functions / Miskolc Math. Notes 13:325~336
B. Micherda / 2012 / On some Hermite-Hadamard-Fejer inequalities for (k, h)-convex functions / Math. Ineq. Appl 12:931~940
M.A. Noor / 1988 / General variational inequalities / Appl. Math. Letters 1:119~121
M.A. Noor / 2000 / New approximation schemes for general variational inequalities / J. Math. Anal. Appl 251:217~229
A. Hazy / 2012 / Bernstein-Doetsch type results for (k, h)-convex functions / Miskolc Math. Notes 13:325~336
B. Micherda / 2012 / On some Hermite-Hadamard-Fejer inequalities for (k, h)-convex functions / Math. Ineq. Appl 12:931~940
M.A. Noor / 1988 / General variational inequalities / Appl. Math. Letters 1:119~121
M.A. Noor / 2000 / New approximation schemes for general variational inequalities / J. Math. Anal. Appl 251:217~229
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