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- W3039503145 abstract "In this paper, we will introduce the definition of operator <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M2><mml:mfenced open=( close=) separators=|><mml:mrow><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mi>η</mml:mi></mml:mrow></mml:mfenced></mml:math>-convex functions, we will derive some basic properties for operator <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M3><mml:mfenced open=( close=) separators=|><mml:mrow><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mi>η</mml:mi></mml:mrow></mml:mfenced></mml:math>-convex function, and also check the conditions under which operations’ function preserves the operator <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M4><mml:mfenced open=( close=) separators=|><mml:mrow><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mi>η</mml:mi></mml:mrow></mml:mfenced></mml:math>-convexity. Furthermore, we develop famous Hermite–Hadamard, Jensen type, Schur type, and Fejér’s type inequalities for this generalized function." @default.
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- W3039503145 date "2020-07-04" @default.
- W3039503145 modified "2023-10-16" @default.
- W3039503145 title "Operator (p, η)-Convexity and Some Classical Inequalities" @default.
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- W3039503145 doi "https://doi.org/10.1155/2020/1235842" @default.
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