Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

# On the Hermite-Hadamard-Mercer Type Inequalities for generalized Proportional Fractional Integrals

Version 1 : Received: 24 December 2020 / Approved: 28 December 2020 / Online: 28 December 2020 (11:23:16 CET)

How to cite: KILINÇ YILDIRIM, S.; Yıldırım, H. On the Hermite-Hadamard-Mercer Type Inequalities for generalized Proportional Fractional Integrals. Preprints 2020, 2020120687 (doi: 10.20944/preprints202012.0687.v1). KILINÇ YILDIRIM, S.; Yıldırım, H. On the Hermite-Hadamard-Mercer Type Inequalities for generalized Proportional Fractional Integrals. Preprints 2020, 2020120687 (doi: 10.20944/preprints202012.0687.v1).

## Abstract

Our aim in this paper is to establish some new Hermite-Hadamard- Mercer type integral inequalities by utilizing the fractional proportional-integral operators.For this purpose, Hermite-Hadamard-Mercer inequalities for di¤er- antiable mappings whose derivatives in absolute value are convex.

## Subject Areas

convex function; Hermite Hadamard inequalities; Jensen inequalities; Jensen-Mercer ·inequality; fractional integrals; fractional proportional integrals; fractional integral inequalities

Views 0
{"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.9466997385025024, "perplexity": 25266.47613462966}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2021-04/segments/1610703499999.6/warc/CC-MAIN-20210116014637-20210116044637-00422.warc.gz"}