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2 results on '"ÖNALAN, HAVVA KAVURMACI"'

1. NEW APPROACHES FOR m-CONVEX FUNCTIONS VIA FRACTIONAL INTEGRAL OPERATORS WITH STRONG KERNELS.

Author

ARDIÇ, MERVE AVCI, ÖNALAN, HAVVA KAVURMACI, AKDEMIR, AHMET OCAK, and NGUYEN, ANH TUAN

Subjects
*CONVEX functions, *REAL variables, *MATHEMATICS, *INTEGRAL operators, *OPERATOR theory
Abstract

We have established this paper on m convex functions, which can be expressed as a general form of the convex function concept. First of all, some inequalities of Hadamard type are proved with fairly simple conditions. Next, an integral identity containing Atangana-Baleanu fractional integral operators is obtained to prove new inequalities for differentiable m-convex functions. Using this identity, various properties of m convex functions and classical inequalities, some new integral inequalities have been proved. [ABSTRACT FROM AUTHOR]

Published
2023
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2. HERMITE-HADAMARD TYPE INEQUALITIES FOR (h-(α, m)) - CONVEX FUNCTIONS.

Author

OZDEMIR, M. E., ÖNALAN, HAVVA KAVURMACI, and ARDIÇ, MERVE AVCI

Subjects
HERMITE polynomials, HADAMARD matrices, MATHEMATICAL inequalities, CONVEX functions, SET theory, MATHEMATICAL proofs
Abstract

In this paper, we define (h -- (α,m))-convex functions that is a new class of convex functions as a generalization of (α, m) --convexity and h --convexity. We also prove some Hadamard's type inequalities. [ABSTRACT FROM AUTHOR]

Published
2015

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