Open AccessNEW NEWTON’S TYPE ESTIMATES PERTAINING TO LOCAL FRACTIONAL INTEGRAL VIA GENERALIZED p-CONVEXITY WITH APPLICATIONS
Author(s) -
Yongmin Li,
Saima Rashid,
Zakia Hammouch,
Dumitru Băleanu,
YuMing Chu
Publication year - 2021
Publication title -
fractals
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.654
H-Index - 44
eISSN - 1793-6543
pISSN - 0218-348X
DOI - 10.1142/s0218348x21400181
Subject(s) - mathematics , convexity , differentiable function , convex function , fractal , type (biology) , quadratic equation , distribution (mathematics) , regular polygon , function (biology) , kernel (algebra) , quadratic function , pure mathematics , mathematical analysis , geometry , ecology , evolutionary biology , financial economics , economics , biology
This paper aims to investigate the notion of [Formula: see text]-convex functions on fractal sets [Formula: see text] Based on these novel ideas, we derived an auxiliary result depend on a three-step quadratic kernel by employing generalized [Formula: see text]-convexity. Take into account the local fractal identity, we established novel Newton’s type variants for the local differentiable functions. Several special cases are apprehended in the light of generalized convex functions and generalized harmonically convex functions. This novel strategy captures several existing results in the relative literature. Application is obtained in cumulative distribution function and generalized special weighted means to confirm the relevance and computational effectiveness of the considered method. Finally, we supposed that the consequences of this paper can stimulate those who are interested in fractal analysis.